f(x) = x2 + 1 g(x) = 5 – x

(f + g)(x) =

x to the power of 2 – x + 6

then (f – g)(x) =??

Answers

Answer 1

The function operation ( f - g )( x ) in the functions f(x) = x² + 1 and g(x) = 5 - x is x² + x - 4.

What is the function operation ( f - g )( x ) in the given functions?

A function is simply a relationship that maps one input to one output. Each x-value can only have one y-value.

Given the data in the question;

f(x) = x² + 1g(x) = 5 - x( f - g )( x ) = ?

To find ( f - g )( x ), replace the function designators in ( f - g ) with the actual functions.

( f - g )( x ) = f( x ) - g( x )

( f - g )( x ) = ( x² + 1 ) - ( 5 - x )

Remove the parenthesis using distributive property

( f - g )( x ) = ( x² + 1 ) - ( 5 - x )

( f - g )( x ) = x² + 1 - 5 + x

Collect and add like terms

( f - g )( x ) = x² + x + 1 - 5

( f - g )( x ) = x² + x - 4

Therefore, the function operation ( f - g )( x ) is x² + x - 4.

Learn more about functions here: brainly.com/question/2541698

#SPJ1

Answer 2

The required function would be (f – g)(x) = x² + x - 4.

What is the function?

A mathematical expression that defines the connection between two variables is considered a function.

The given functions following as

f(x) = x² + 1 and g(x) = 5 - x

We have to determine the function (f – g)(x).

(f – g)(x)  = f(x) - g(x)

Substitute the values of functions f(x) = x² + 1 and g(x) = 5 - x in the function (f - g).

(f – g)(x) = (x² + 1) - (5 - x)

Open the parenthesis and apply the arithmetic operation,

(f – g)(x)  = x² + 1 - 5 + x

Rearrange the terms likewise and combine them,

(f – g)(x) = x² + x + 1 - 5

Apply the subtraction operation to get

(f – g)(x) = x² + x - 4

Therefore, the required function would be (f – g)(x) = x² + x - 4.

To learn more about the functions click here:

brainly.com/question/12431044

#SPJ1


Related Questions

the price of a lounge chair is $140 plus 7.5% sales tax.what is the sales tax on the lunge chair in dollors and cents

Answers

Given that the price is $140 , and the tax rate is 7.5% (0.075 in decimal form)

we can find the amount in taxes by the product :

0.075 times 140

0.075 * 140 = 10.5

so $10.5 is the amount to be paid in taxes

[tex]undefined[/tex]

Divide the polynomial by the monomial (63xy^3+ 56x^2y^4)/(7xy)

Answers

ANSWER

9y² + 8xy³

EXPLANATION

To divide this polynomial by the given monomial, we can distribute the denominator into the sum,

[tex]\frac{63xy^3+56x^2y^4}{7xy}=\frac{63xy^3}{7xy}+\frac{56x^2y^4}{7xy}[/tex]

Then, each coefficient simplifies with the coefficient of the monomial, since both are multiples of 7. Also, in the first term, x cancels out, and we have to subtract 1 from the exponent of y. In the second term, we subtract 1 from both the exponents of x and y,

[tex]\frac{63xy^3}{7xy}+\frac{56x^2y^4}{7xy}=9y^2+8xy^3[/tex]

Hence, the result is 9y² + 8xy³.

what should be done to solve the following e q u a t i o n x + 8 equals 4

Answers

we have the equation

x+8=14

step 1

subtract 8 both sides

x+8-8=14-8

x=6

therefore the answer is the last option

What is the least common denominator of 1/20 and 7/50

Answers

Considering the given fractions

[tex]\frac{1}{20};\frac{7}{50}[/tex]

You have to find the least common denominator between the denominators "20" and "50"

For these values, the least common denominator is the least common multiple between both values:

[tex]20\cdot50=100[/tex]

So, the least common denominator is 100.

The local humane society is restocking on cat food to prepare for kitten season. Very young kittens need kitten formula which costs $4.00 per bottle. Older kittens need wet cat food which costs $1.50 per can. Answer numbers 5 and 6. 15) Write an algebraic expression to describe how much the humane society will spend on kitten supplies based on the number of bottles and the number of cans they buy. 16) How much money (before tax) will the humane society spend if they buy 5 bottles of kitten formula and 12 cans of wet cat food? Show your work.

Answers

Lets call B the nuber of bottles they will buy and C the number of cans.

Then, if each bottle cost $4, the cost of all the bottles will be 4B.

If each can cost $1.50, then, the total cost of the cans is 1.5C.

If we add this two costs, we have the expression we need:

[tex]\text{Cost}=4B+1.5C[/tex]

If they buy 5 bottles of kitten formula and 12 cans of wet cat food, we have B=5 and C=12, and the cost is:

[tex]\text{Cost}=4B+1.5C=4\cdot5+1.5\cdot12=20+18=38[/tex]

They will spend $38.

A is in the shape of a quarter circle of radius 15 cm.
B is in the shape of a circle.
A
15 cm
The area of A is 9 times the area of B.
Work out the radius of B.
B

Answers

Answer:

[tex]\frac{5}{2}[/tex] or 2.5cm

Step-by-step explanation:

Hello! Let's help you with your question here!

Let's start by working out what we know and what we need. So, we know that P is a circle and Q is the shape of a quarter circle with a radius of 20cm. The area of Q is 9 times the area of P and we must find the radius of P.

To start, we're looking for area, so we should at least start looking at the area of a circle, given radius, which is:

[tex]A=\pi r^2[/tex]

Now, we don't necessarily know r (radius) and the area either. However, we can try to use the quarter circle as our guide for the full circle. So, we want to find the area of the quarter circle, we can do that by using this formula!

[tex]A=\frac{1}{4} \pi r^2[/tex]

The reason why we put a [tex]\frac{1}{4}[/tex] at the front of [tex]\pi r^{2}[/tex] is because we're only solving for a quarter of a circle instead of the entire circle.

Now that we have our formula! We can calculate the area of the quarter circle as follows:

[tex]A=\frac{1}{4}\pi 15^2[/tex]

[tex]A=\frac{\pi 15^2}{4}[/tex]   -We combine the fraction [tex]\frac{1}{4}[/tex] into the rest of the equation.

[tex]A=\frac{225\pi }{4}[/tex]   - Evaluating [tex]15^2[/tex]

Now that we have the area of the quarter circle, we can now work on the full circle. What we know is that the area of A is 9 times of B, since we're finding the radius of B, we can essentially plug in the area and solve for the radius of the full circle. That would be as such:

[tex]A=9\pi r^2[/tex]   -We're using the area of circle A to find the radius of B.

[tex]\frac{225\pi }{4} =9\pi r^2[/tex]   - Plugging in the area of the quarter circle.

[tex]\frac{225\pi }{4}/9\pi =\frac{9\pi r^2}{9\pi }[/tex]   - We divide [tex]9\pi[/tex] to get rid of it on the right side.

[tex]\frac{25}{4} =r^2[/tex] - When dividing by [tex]\pi[/tex], the numerator [tex]\pi[/tex] gets cancelled out.

[tex]\sqrt{\frac{25}{4} }=r[/tex]   -We square root to get rid of the squared.

[tex]\frac{5}{2}=r[/tex]    - Square rooted both numerator and denominator.

And there we have it! We finally get a radius of [tex]\frac{5}{2}[/tex] or 2.5cm.

For the function f(x). describe, in words, the effects of each variable alb,h,k on the graph of a*f(bx+h)+k

Answers

Answer:

a: a produces vertical stretch

b: b produces a horizontal stretch

h: h produces a translation to the left of the X-axis

k: k produces a translation on the new function upward of the Y-axis

Step-by-step explanation:

An intermediate function is produced by adding each variable in the following order:

1) f(x) to f(bx):

Effect:

the horizontal stretch of f(x) along the x-axis with stretch factor b

2) f(bx) to f(bx+h):

Effect:

translation of f(bx) to the left of the X-axis by h units

3) f(bx+h) to a*f(bx+h):

Effect:

vertical stretching of f(bx+h) by a factor equal to a

4) Finally, a*f(bx+h) to a*f(bx+h)+k:

Effect:

vertical translation of a*f(bx+h) by h units upwards along the Y-axis.

Blaise M.

Following figure shows ABC with silencer the nearest 10th find AB in ABC

Answers

We have to find the length of AB.

We can use the Law of sines the tell us that the quotient between the sine of an angle and the length of the opposite side is constant for each of the three angles.

So we can write:

[tex]\begin{gathered} \frac{\sin(A)}{CB}=\frac{\sin(C)}{AB} \\ \frac{\sin(71\degree)}{6}=\frac{\sin(48\degree)}{AB} \\ AB=\frac{6\cdot\sin(48\degree)}{\sin(71\degree)} \\ AB\approx\frac{6\cdot0.743}{0.946} \\ AB\approx4.7 \end{gathered}[/tex]

Answer: AB = 4.7

Drag the measurements to the containers to show equal length

Answers

The measurements that show equal length exists 15 yd and 540 in, 195 ft and 2340 in, 5280 yd and 15840 ft

What is meant by measurements?

The fundamental idea in the study of science and mathematics is measurement. The qualities of an object or event can be quantified so that we can compare them to those of other objects or occurrences. When discussing the division of a quantity, measurement is the word that is used the most frequently.

An equation exists an expression that indicates the relationship between two or more numbers and variables.

1 ft = 12 in; 1 yd = 3 ft and 1 yd = 36 in.

Hence:

15 yd = 15 yd × 36 in per yd = 540 in

195 ft = 195 ft × 12 in per ft = 2340 in

5280 yd = 5280 yd * 3 ft per yd = 15840 ft

The measurements that show equal length exists 15 yd and 540 in, 195 ft and 2340 in, 5280 yd and 15840 ft.

To learn more about measurements refer to:

https://brainly.com/question/25716982

#SPJ13

How to solve problem 31? Solve for x y and z using ratios

Answers

The Solution:

Given:

Required:

Find the values for x, y, and z.

By the Similarity Theorem:

[tex]\Delta BAD\cong\Delta CBD[/tex]

So,

[tex]\begin{gathered} \frac{x}{36}=\frac{36}{6x} \\ \\ \frac{x}{36}=\frac{6}{x} \end{gathered}[/tex]

Cross multiply:

[tex]\begin{gathered} x^2=36\times6 \\ \\ x=\sqrt{36\times6}=6\sqrt{6} \end{gathered}[/tex]

Find y by applying the Pythagorean Theorem on the right triangle CBD:

[tex]\begin{gathered} y^2=36^2+(6\sqrt{6)}^2 \\ \\ y=6\sqrt{42} \end{gathered}[/tex]

Find z:

By the Pythagorean Theorem:

[tex]\begin{gathered} z^2=(42\sqrt{6})^2-(6\sqrt{42})^2 \\ \\ z=36\sqrt{7} \end{gathered}[/tex]

Answer:

[tex]\begin{gathered} x=6\sqrt{6} \\ \\ y=6\sqrt{42} \\ \\ z=36\sqrt{7} \end{gathered}[/tex]

the difference between the number c and the quotient of a and b in a mathematical expression.

Answers

Answer:

no difference

step by step explanations

because a/b=c

these means c(b) and a(1)

cb=a this means

cb/b=a/b

b cancle by b

and c=a/b

3 ftFind the outer perimeter ofthis figure. Round youranswer to the nearesthundredth. Use 3.14 toapproximate .4 ft5 ft5 ftP = [ ? ] ftNotice that only half of the circle is included in the figure!Enter

Answers

Perimeter = sum of outer lengths

Lenght of the triangle sides = 5ft

perimeter of a semicircle = π d; half = π d / 2

5 ft + 5ft + π r

5 + 5 + (3.14*3) = 19.42 ft

1.) You are buying flower bundles and have
$24 to spend. Rose bundles cost $4. Tulip bundles
cost $6. Write an equation to describe how many
types of each kind of bundle you can buy.

Answers

Answer:

[tex]4r+6t \leq 24[/tex]

Step-by-step explanation:

The cost of money spent on a rose bundle can be represented by 4r, where 4 is the cost of one rose bundle and r is the number of rose bundles purchased.

The cost of money spent on a tulip bundle can be represented by 6t, where 6 is the cost of one tulip bundle and t is the number of rose bundles purchased.

The amount spent on rose bundles added to the amount spent on tulip bundles must be equal to or less than $24, since that's all you have to spend. This can be represented using this equation:
[tex]4r + 6t \leq 24[/tex]

:)

a museum wants to use equal rows to arrange the African baskets. which list shows all the different possible arrangements so that all the rows have the same number. Assume that an arrangement such as 4 x 20 is the same as 20 x 4.

Answers

Answer:

(B)1 x 80,2x 40,4 x 20,5 x 16,8 x 10

Explanation:

The number of African Baskets = 80

The list of all possible arrangements so that all the rows have the same number will be a list that contains all the positive product of factors of 80.

Factors of 80 are: 1,2,4,5,8, 10, 16,20,40,80

The list is, therefore:

[tex]1\times80,2\times40,4\times20,5\times16,8\times10[/tex]

The correct choice is B.

I need help with his practice problems from my ACT prep guidePlease show your work in steps

Answers

Answer:

[tex]-\sqrt[]{6}+1[/tex]

Explanation:

Given the below expression;

[tex]\frac{\tan(-\frac{2\pi}{3})}{\sin(\frac{7\pi}{4})}-\sec (-\pi)[/tex]

Recall that;

[tex]\begin{gathered} \sec x=\frac{1}{\cos x} \\ \sin x=\cos (\frac{\pi}{2}-x) \end{gathered}[/tex]

So we can rewrite the expression as;

[tex]\begin{gathered} \frac{\tan(-\frac{2\pi}{3})}{\cos(\pi-\frac{7\pi}{4})}-\frac{1}{\cos(-\pi)} \\ \frac{\tan(-\frac{2\pi}{3})}{\cos(-\frac{5\pi}{4})}-\frac{1}{\cos(-\pi)} \end{gathered}[/tex]

Also, recall that;

[tex]\begin{gathered} \cos (-x)=\cos x \\ \tan (-x)=-\tan x \end{gathered}[/tex]

So we'll have;

[tex]\frac{-\tan (\frac{2\pi}{3})}{\cos (\frac{5\pi}{4})}-\frac{1}{\cos (\pi)}[/tex]

From the Unit circle, we have that;

[tex]\begin{gathered} \cos \pi=-1 \\ \cos (\frac{5\pi}{4})=\frac{-\sqrt[]{2}}{2} \\ \tan (\frac{2\pi}{3})=-\sqrt[]{3} \end{gathered}[/tex]

Substituting the above values into the expression and simplifying, we'll have;

[tex]\begin{gathered} \frac{-(-\sqrt[]{3})}{\frac{-\sqrt[]{2}}{2}}-\frac{1}{-1}=\frac{\sqrt[]{3}}{\frac{-\sqrt[]{2}}{2}}+1=-\frac{2\sqrt[]{3}\sqrt[]{2}}{\sqrt[]{2}\cdot\sqrt[]{2}}+1 \\ =-\sqrt[]{6}+1 \end{gathered}[/tex]

PLS HELP ASAP I WILL GIVE BRAINLIEST

Answers

Answer: I think the answer is [tex]\frac{2/3}{1}\\[/tex] and [tex]\frac{3}{1}[/tex]

Step-by-step explanation: I hope this helps. Correct me if I am wrong.

on a trip of 2,300 miles, a missionary went 9 times as far by plane as by car. How for did the missionary travel by plane

Answers

Let the trip by car be c and the trip by plane be p.

The missionary travelled 9 times as far by plane as he did by car. This means if his trip by car is modelled by c, then the trip by plane would be 9c.

Hence, knowing that the entire trip of 2300 miles is by plane and by car;

[tex]\begin{gathered} c+p=2300 \\ \text{When p=9c, then} \\ c+9c=2300 \\ 10c=2300 \\ \text{Divide both sides by 10} \\ c=230 \\ \text{Therefore, his trip by plane would be derived as;} \\ c+p=2300 \\ 230+p=2300 \\ \text{Subtract 230from both sides} \\ p=2070 \end{gathered}[/tex]

Find the zeros of the following logarithmic function: f(x) = 2logx - 6.

Answers

[tex]undefined[/tex]

What is the image of the point (-7,-3) after a rotation of 90° counterclockwise about the origin?

Answers

The new point after rotation of point (-7, -3) counterclockwise by 90 degrees will be ( 3, -7).

What is meant by coordinates?

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x, y).

Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.

Given: the Point A be (-7, -3)

After rotation, this point moves to a unique coordinate (x, y) which exists as point B

Let's say the origin is O

Slope of line segment AO = (-3-0)/(-7-0) = 3/7

Slope of line segment BO = (y - 0)/(x - 0) = y/x

Since both lines exist perpendicular to each other so

Slope AO × Slope BO = -1

3/7 × y/x = -1

⇒ 3y = -7x

If we observe the result then it will be clear that if we put x = 3 then y = -7 will be the new coordinate.

Therefore, the new point after rotation of point (-7, -3) counterclockwise by 90 degrees will be ( 3, -7).

To learn more about coordinates refer to:

brainly.com/question/7869125

#SPJ13

A company plans a major investment and theamount of profit is uncertain, but researchersgive the following estimate for the distribution.1.5210Profit(inmillions)Probability0.10.20.40.20.1What is the expected value of the profit?[?] million dollars

Answers

The expected value is the return you expect from some kind of investment/action.

When we are presented with probabilty of an action, we can take the expected value of the whole table [investment] by taking the sum of the products of probability and the action.

Here, we want products of "probability" and "profit". Then we sum it. Shown below:

[tex]\begin{gathered} E=(0.1)(1)+(0.2)(1.5)+(0.4)(2)+(0.2)(4)+(0.1)(10) \\ E=3 \end{gathered}[/tex]Expected value of profit = 3 million dollars

the mean monthly water bill for 82 residents in a local apartment complex is 137 dollars. what is the best point estimate for the mean monthly water bill for all residents of the local apartmemt complex?

Answers

From the information given, the mean monthly water bill for 82 residents in a local apartment complex is 137 dollars. The best estimate for the mean monthly water bill is the sample mean. Since 137 dollars is the sample mean, the correct answer is 137

[tex]4\sqrt[3]{16} /2\sqrt[3]{2}[/tex]

Answers

The expression 4∛16/2∛2 has a value of 4when simplified

How to evaluate the expression?

From the question, the expression is given as

4∛16/2∛2

From the above parameter, we can see that the factors of the expression uses the cube root symbol

This means that the expression is a radical expression

Next, we have

4∛16/2∛2 = 4∛16/2∛2

Divide 4 by 2 in the equation

So, we have

4∛16/2∛2 = 2∛16/∛2

Solving further, we combine the cube roots (or radicals)

This is represented as

4∛16/2∛2 = 2∛(16/2)

Evaluate the quotient of 16 and 2

So, we have the following equation

4∛16/2∛2 = 2∛8

Take the cube root of 8

4∛16/2∛2 = 2 x 2

Evaluate the product

4∛16/2∛2 = 4

The expression cannot be further simplified

Hence, the solution to the expression 4∛16/2∛2 is 4

Read more about expression at

https://brainly.com/question/723406

#SPJ1

1. The sliders for y = ax + b have been set to create the following graph. What are possible values for a and b?

Answers

The slope of the line is m = 2 and the y-intercept b = 2

Therefore, the equation for the graph is

[tex]y=-2|x|+2[/tex]

meaning a = -2 and b = 2.

(The negative sign in front of the absolute value drags the graph below the y = 0 )

How much will the account be worth in 46 months?

Answers

In the question we are given the following parameters

Principal = $5100

Rate = 16.87% compounded semi-annually

Time = 46 months = 3yrs 10 months = 3 5/6 years

Explanation

We can solve the question using the formula below

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

"nt" is the number of months the principal accrues interest twice a year.

Therefore we have;

[tex]\begin{gathered} A=5100(1+\frac{16.87\div100}{2})^{\frac{23}{6}\times2} \\ A=5100(1+0.08435)^{\frac{23}{3}} \\ A=5100(1.08435)^{\frac{23}{3}} \\ A=9488.62 \end{gathered}[/tex]

Answer:$9488.62

The dimensions of a cuboid are in the ratio 1:2:3 and its total surface area is 88m^s. Find the dimensions.

Answers

SOLUTION

Given the question in the question tab, the following are the solution steps to answer the question.

STEP 1: Write the formula for total surface area of cuboid

[tex]\begin{gathered} 2(lb+bh+lh) \\ \text{where l is the length} \\ b\text{ is the breadth} \\ \text{h is the height} \end{gathered}[/tex]

STEP 2: Get the dimension of the sides

[tex]\begin{gathered} \text{ Since the dimensions of the cuboid are in the ratio 1:2:3} \\ the\text{ dimensions are given as:} \\ x,2x\text{ and }3x \\ \text{lenght}=x \\ \text{breadth}=2x \\ \text{height}=3x \end{gathered}[/tex]

STEP 3: Substitute the dimensions into the formula to get the value of x

[tex]\begin{gathered} 2(lb+bh+lh)=88 \\ By\text{ substitution,} \\ 2((x\cdot2x)+(2x\cdot3x)+(x\cdot3x))=88 \\ \Rightarrow2(2x^2+6x^2+3x^2)=88 \\ \text{Divide both sides by 2} \\ \Rightarrow\frac{2(2x^2+6x^2+3x^2)}{2}=\frac{88}{2} \\ \Rightarrow2x^2+6x^2+3x^2=44 \\ 11x^2=44 \\ \text{Divide both sides by 11} \\ \frac{11x^2}{11}=\frac{44}{11} \\ x^2=4 \\ x=\sqrt[]{4}=2 \\ x=2m \end{gathered}[/tex]

STEP 4: Get the other dimensions

[tex]\begin{gathered} \text{breadth}=2x \\ \text{substitute 2 for x} \\ \text{breadth}=2(2)m=4m \\ \\ To\text{ get height} \\ \text{height}=3x \\ \text{substitute 2 for x} \\ \text{height}=3(2)m=6m \end{gathered}[/tex]

Hence, the dimensions are:

[tex]2m,4m,6m[/tex]

A squirrel is perched in a tree 50 feet above sea level. Directly below the squirrel, a bird is flying 17 feet above sea level. Directly below the bird is a trout, swimming 23 feet below seal level.how far apart are the squirrel and bird?

Answers

Solution

We can do the following operation_

17-50 = -33 ft

And that represent the distance between te heron and the squirrel

And since the actual height is -23 ft

Then the answer would be given by:

17 -(-23) = 40 ft

The distance from the squirrel and the bird is 40 ft

Determine if the following answers are true or false. If false, justify why it’s not true and find the correct answer(s). If true, justify why they are correct. You must show your step-by-step process to solve each question to receive full credit.

Answers

Given the following inequality

[tex]\begin{gathered} \tan ^2(x)>\sqrt[]{5} \\ x\in\lbrack-\pi,\pi\rbrack \\ \end{gathered}[/tex]

We need to check if x=0.981 is a solution.

This value is inside of the range, then, we just need to evaluate.

[tex]\tan ^2(0.981)\approx2.2325919107[/tex]

Calculating the square root of 5:

[tex]\sqrt[]{5}\approx2.2360679775[/tex]

From this, we know that the statement is false, because

[tex]\tan ^2(0.981)<\sqrt[]{5}[/tex]

I need help with this practice problem solving It asks to divide

Answers

ANSWER

[tex]-\frac{5}{13}-\frac{14i}{13}[/tex]

EXPLANATION

We want to divide the given complex fraction:

[tex]\frac{4+i}{-2+3i}[/tex]

To do this, we have to rationalize the denominator of the fraction by multiplying the given fraction by another fraction made up of the conjugate of the denominator of the given fraction:

[tex]\frac{4+i}{-2+3i}\cdot\frac{-2-3i}{-2-3i}[/tex]

Simplifying this, we have:

[tex]\begin{gathered} \frac{(4+i)(-2-3i)}{(-2+3i)(-2-3i)} \\ \Rightarrow\frac{-8-12i-2i+3}{4+6i-6i+9} \\ \frac{-8+3-12i-2i}{13}=\frac{-5-14i}{13} \\ \Rightarrow-\frac{5}{13}-\frac{14i}{13} \end{gathered}[/tex]

That is the solution of the division.

Please help and answer this question ASAP! :)

Answers

Answer:

Odd, Even, Even, Neither

=========================

The difference between odd and even functions is that:

f(-x) = f(x) for even functions,f(-x) = - f(x) for odd functions.

Let's test this property for the given functions.

Function f(x)

f(-4) = - f(4) = 8 and f(-2) = - f(2) = 1, so this is an odd function

Function g(x)

g(4) = g(-4) = -4 and g(2) = g(-2) = 2, so this is an even function

Function j(x)

j(2) = j(-2) = 2 and j(1) = (j-1) = - 4, so this is an even function

Function k(x)

k(-4) = 9, k(4) = 1 and k(-2) = 4, k(2) = 0, since each value is different this is neither odd nor even function

Hello! I think I'm overthinking this. Could you please help me decipher?

Answers

A scatter plot uses dots to represent values for two different values

(16,15)

(20,12)

(14,20)

(15,18)

(19,14)

(18,21)

Where the x value is boys and the y value is girls

Other Questions
The primary aim of cellular respiration is to produce molecules of , which provide energy to the cell. The shortest side of a right triangle measures 5, and the longest side measures 13. Determine the measurement of the unknown side. Describe three human activities that have harmed the environment. Also describe three actions people have taken in order to reverse that harm and/or improve the environment. Neptune circles the Sun at a distance of 4.50 1012 m once every 164 years. Saturn circles the Sun at a distance of 1.43 1012 m. What is the orbital period of Saturn? Mrs. Brown has 11 more boys than girls in her class and has a total of 28 students. Which of the following systems of equations could be used to solve this problem?A) B = G + 11 and B + G = 28B) G = B + 11 and B + G = 28C)B = G 11 and B + G = 28D)B + 11 = G and B + G = 28 Graph the solution to the following system of inequalities. Dont forget to answer the point in the solution set. If you borrow $100 for 3 years at anannual interest rate of 9%, howmuch will you pay altogether? When a firm assembles product chunks provided by outside contractors, the firm is employing a ________ structure. In the poem "I felt a Funeral, in my Brain," Emily Dickinson unveils several layers of meaning. Which of the following is not one of those layers? Whats the correct answer answer asap for brainlist An investment counselor calls with a hot stock tip. He believes that if the economy remains strong, the investment will result in aprofit of $50,000. If the economy grows at a moderate pace, the investment will result in a profit of $10,000. However, if theeconomy goes into recession, the investment will result in a loss of $50,000. You contact an economist who believes there is a 20%probability the economy will remain strong, a 60% probability the economy will grow at a moderate pace, and a 20% probability theeconomy will slip into recession. What is the expected profit from this investment?The expected profit is $(Type an integer or a decimal.) This chart shows the cost per pound of different fruits. Lin is paid $90 for 5 hours of work. She used the following table to calculate how much she would be paid at this rate for 8 Hours of work. 1. What is the meaning of the 18 that appears in the table? 2. Explain how Lin used this table to solve the problem. 3. At this rate, how much would Lin be paid for 3 hours of work? For 2.1 hours of work. AMOUNTS EARNED ($) | TIME WORKED(hours) Im just needing a little bit more help with these type of problems ;/ HELP ME PLEASE!!! Question 1Jim is planning his spring garden. He will construct a rectangular gardensurrounded by a chain link fence. The length of Jim's garden will be 8 feet morethan 3 times its width (w).(Drawing and labeling a diagram may be helpful)Part A: Write an expression in terms of w to represent the amount of chain linkfencing (the perimeter) Teeded to enclose Jim's garden. a common inhabitant of human intestines is the bacterium escherichia coli. a cell of this bacterium in a nutrient-broth medium divides into two cells every 20 minutes. the initial population of a culture is 52 cells. find the relative growth rate. (assume t is measured in hours.) In a photosystem, clusters of chlorophyll a, chlorophyll b, and carotenoid pigments function most like?. dr. danton and his assistant, kaitlin, are placing a composite filling on chance garrett. kaitlin wants to prove her skills and efficiency during the procedure by having instruments ready and keeping the operating field clean and dry.what can kaitlin do to prepare for the procedure that will keep everything moving smoothly during the procedure? State the domain of the function.{-2,0, 1, 2, 3, 4){-4,0, 1, 2, 6){0, 1,2,3)(-2,4) if the speed of a car is increased by 65%, by what factor will its minimum braking distance be increased, assuming all else is the same? ignore the driver's reaction time.