The function h(x)=1/x^2+1 is the result of the composition f(g(x)). If g(x) = x^2+1,what is f(x)? A f(x)=1/square root x B f(x)=1/x C f(x)= 1/x+1 D f(x)=1/x^2+1

Answers

Answer 1

Answer:

Option B is correct

Step-by-step explanation:

Given: [tex]h(x)=\frac{1}{x^2+1}[/tex] is the result of the composition [tex]f(g(x))[/tex].

Also, [tex]g(x)=x^2+1[/tex]

To find: [tex]f(x)[/tex]

Solution:

Take [tex]f(x)=\frac{1}{x}[/tex]

Now check whether [tex]h(x)[/tex] is equal to [tex]f(g(x))[/tex] or not.

First find [tex]f(g(x))[/tex]

[tex]f(g(x))=f(x^2+1)=\frac{1}{x^2+1}[/tex]

Also, [tex]h(x)=\frac{1}{x^2+1}[/tex]

Therefore,

[tex]h(x)=f(g(x))[/tex]

So,

Option B is correct

Answer 2

Answer: B. f(x)=1/x

Step-by-step explanation:

Edge


Related Questions

Can you help me please

Answers

It would be 94/2 because bisect is half of the angle and 94 divided by 2 is 47

Sub to SZ Lexrn if that does not show search up shiyo on vr and first vid is them please help out , thx bye . If you do it cmt and ill make a post for yall for 100 points, please bro..

Answers

Answer:

Ooooook?

Step-by-step explanation:

Fine

What isthmus solution to the equation 2x+2=10

Answers

Answer:

addition

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

10-2=8

8/2=4

Hope this helps!

A line passes through (2, 7) and has a slope of -4. What is its equation in point-slope form?


Sorry I'm bad

Answers

Answer:

y= (-4/1)x -1

Step-by-step explanation:

Which equation BEST demonstrates the associative property of multiplication?
(5 + 6) x 7 = 7 x (6 + 5)
(5 x 6) x 7 = 5 x (6 x 7)
5 x 7 = 5 x 7
5 x 7 = 7 x 5

Answers

Answer:

c

Step-by-step explanation:

Answer this please and thank you

Answers

Answer:

The Answer is x^2/2

Step-by-step explanation:

The ^ is the power of _

In this case ^ is the power of 2.

Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil. Jason decides to test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. What is the probability that the land has oil and the test predicts it?

A.
0.09

B.
0.11

C.
0.36

D.
0.44

Answers

In this case you the probabilities can be multiplied similarly to if you flipped a coin twice. .45 * .80 = .36

Answer:

0.36

Step-by-step explanation:

0.45 x 0.80

= 0.36

What is 27 5/6 - 2/7?

Answers

Your answer would be 27 23/42

Answer:

my calculator says 1159/35

Step-by-step explanation:

Which sentence can represent the inequality

Answers

c might be the correct answer try it :)

Use the number line below, where RS=9y+2, ST=2y+6, and RT= 52

Answers

Answer:

Step-by-step explanation:

Given

RS=9y+2, ST=2y+6, and RT= 52

The addition postulate is true for the number line.

RS+ST = RT

Substitute

9y+2+(2y+6) = 52

9y+2y+8 = 52

11y = 52-8

11y = 44

y = 44/11

y = 4

Find RS

RS = 9y+2

RS = 9(4)+2

RS = 36+2

RS = 38

Find ST:

ST = 2y+6

ST = 2(4)+6

ST = 8+6

ST = 14

Hence y = 4, RS = 38 and ST = 14

Question 3: Determine the missing base in the equation problem below. 75eight = 23 base​

Answers

Answer:

29

Step-by-step explanation:

Given the expression [tex]75_8 = 23_x[/tex] where x is the unknown base:

[tex]75_8 = 23_x\\7\times8^1 +5\times8^0 = 2\times x^1+3 \times x^0\\56+5 = 2x+3\\61 = 2x+3\\2x = 61-3\\2x = 58\\x = 58/2\\x = 29[/tex]

Hence the missing base is 29

The average of the first 3 weights was 14 pounds. The average of the next 7 was 4 pounds. What was the overall average of the weights?

Answers

Answer:

[tex]Average = 10[/tex]

Step-by-step explanation:

Given

[tex]First\ Three = 14[/tex] --- Average

[tex]Next\ Seven= 4[/tex] --- Average

Required

Determine the overall average

Represent the sum of the first three with x.

So:

[tex]\frac{x}{3} = 14[/tex]

Solve for x

[tex]x = 14 * 3[/tex]

[tex]x = 42[/tex]

Represent the sum of the next seven with y.

So:

[tex]\frac{y}{7} = 4[/tex]

Solve for y

[tex]y = 4 * 7[/tex]

[tex]y = 28[/tex]

The overall average is calculated as thus:

[tex]Average = \frac{x + y}{7}[/tex]

[tex]Average = \frac{42 + 28}{7}[/tex]

[tex]Average = \frac{70}{7}[/tex]

[tex]Average = 10[/tex]

What is the Esquire root of 3?​

Answers

Answer:

1.732

Step-by-step explanation:

.......................

Answer: 1.7321


Explanation: The square root of a number is a value that, when multiplied by itself, gives the number. For 3 , that number is 1.7321 .

I hope you find this helpful.

Bryce orders the following items from a catalog. What is the total price he charges to his credit card if the sales tax is 6 percent and nontaxable shipping costs $5 for the order? Round to the nearest cent if necessary.

Answers

Answer:

The answer is C : $115.54

Step-by-step explanation:

If you add every single items cost together, the total is $109.00

60 + 14 = 74

10 + 25 = 35

74 + 35 = $109

You then caculate what 6% percent of 109 is = $6.54

After that, you add the total and percent together

$6.54 + $109.00  = $115.54

Answer:answer is c

Step-by-step explanation:I took edge 2022

Of 1000 randomly selected cases of lung cancer, 838 resulted in death within 10 years. Construct a 95% two-sided confidence interval on the death rate from lung cancer. (a) Construct a 95% two-sided confidence interval on the death rate from lung cancer. Round your answers to 3 decimal places. (b) Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.03

Answers

Answer:

0.8152 ≤ p ≤ 0.8608

579

Step-by-step explanation:

Given the following :

Samples size n = 1000

Deaths within 10 years, p = 838

α = 95%

Construction a two way confidence interval:

p ± Zα/2 * √p(1-p) / n

point estimate p = 838/n = 838/1000 = 0.838

Z0.05/2 = Z0.025 = 1.96

0.838 - 1.96√0.838(1-0.838) / 1000

0.838 - 1.96*0.0116514 = 0.8152

0.838 + 1.96√0.838(1-0.838) / 1000

0.838 + 1.96*0.0116514 = 0.8608

0.8152 ≤ p ≤ 0.8608

b) Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.03

Error (E) = 0.03

To find the samome size, use the relation:

n = (Zα/2 / E)² * p(1-p)

n = (1.96/0.03)² * 0.838(1-0.838)

n = (1.96/0.03)² * 0.838 * 0.162

n = 4268.4444 * 0.838 * 0.162

n = 579.46

n = 579

Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select the true statement.

Answers

Answer:

segment EF is twice as long as segment AB

Step-by-step explanation:

Quadrilateral EFGH and quadrilateral ABCD are similar polygons. We can say that two polygons are similar if their corresponding angles are equal to each other and their corresponding sides are proportional to each other.

From the image attached, we can see that side CD and side GH are corresponding sides. The ratio of their sides are to be proportional.

GH / CD =  12 / 6 = 2

Therefore Quadrilateral EFGH is twice the size of Quadrilateral ABCD. Since side EF and side AB are proportional, therefore segment EF is twice as long as segment AB

Is 1.994 greater or lesser than 1.493

Answers

Answer:

greater than

Step-by-step explanation:

1.994 is closer to 2 than 1.493 so it is greater!

Solve the inequality. Graph the solution. -4s<6s +1

Answers

Answer:

Step-by-step explanation:

First solve the inequality by writing it.

-4s < 6s + 1

Now subtract -1 on both sides.

-4s - 1 < 6s

Now add 4s on both sides to combine like terms.

-1 < 10s

Now divide 10 on both sides.

-0.1 < s

Now flip it over properly.

s > -0.1

Hope this helped! <3

can you write an equivalent fraction for 9/11 and 6/7 using the least common denominator ?

Answers

Answer:

The least common denominator is 77 so the fractions would become 63/77 and 66/77.

convert 2 3/7 to an improper fraction​

Answers

Answer:The mixed number 2 3/7 can be converted to the improper fraction 17/7. The easiest way to do this is to multiply the denominator of the fraction (7 in...

Step-by-step explanation:

The Complex Conjugate of 2 + 5i is equal to: _______+_________i

Answers

Answer:

2 - 5i

Step-by-step explanation:

For any complex number like say "z" written in rectangular form as;

z = a + ib, then from definitions the complex conjugate is given by the relation:

z* = a − ib

Now, from our question, we want to find the complex conjugate of 2 + 5i.

From the relationship above, it's clear that the complex conjugate here is;

2 - 5i

What is the solution to the equation? √x - 3 + 1 = 6
A. 64
B. 46
C. 28
D. 22

Answers

The solution of the given equation √x - 3 + 1 = 6 will be x = 64 so option (A) will be correct.

What is the equation?

An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.

For example 8x + 7y = 15.

Given the equation,

√x - 3 + 1 = 6

√x + (-3 + 1) = 6

√x - 2 = 6

√x = 6 + 2 = 8

By squaring

x = 8² = 64.

Hence "The solution of the given equation √x - 3 + 1 = 6 will be x = 64".

For more about the equation,

brainly.com/question/10413253

#SPJ1

Answer:the correct answer is C.28

Step-by-step explanation:

Customers at the Palace Pro Shop receive a 10% discount if they are members. All customers must pay 7% in sales tax. The function f(x)=0.9x is used to determine the price of an item after the 10% member discount, where x is the regular price of the item. The function g(x)=1.07x is used to determine the total amount customers pay for a purchase after all discounts are applied. Which function can be used to determine T(x), the total amount a member pays for an item with a regular price of x dollars?

T(x)=0.963x
T(x)=0.17x
T(x)=1.19x
T(x)=1.97x

Answers

Answer:

0.963

Step-by-step explanation:

It’s correct

This is my last question.

Answers

Answer:

NOM and POR

(so so sorry if it's wrong, I tried my best to help you but I had to look up an image of a angle like that but i hope you have a wonderful day, sorry again if i am wrong, i hope i help in a way, in i did not, sorry)

Maria needs 3/4 of a cup of sugar for one serving of her recipe. How many cups of sugar will she need for 5 servings?

Answers

Answer:

3.75 cups of sugar. I think

Answer:

3 3/4

Step-by-step explanation:

3/5 times 5

1.multiiply the numerator by 5

The numerator is the top number which is 3 in this case

So 3x5 is 15

You keep the denominator 4

so 15/4 that is an improper fraction now divide 15 by 4

or count by fours

4,8,12,16

16 is more than 15 so the new numerator is 12 and how many times did we count to fours? 3 times

so 3 is a whole now subtract the 12 you already took with 15. 3 is the extra so 3 wholes and 3 extras which is 3 3/4

*remember you keep the denominator the same

1. which group weighed the most per item on the scale? how much did it weigh?

which group weighed the least per item on the scale? how much did it weigh?

And also complete the table.

Please help it is due right now ASAP​

Answers

Answer:

cars weighed the most per item and desks the least

Select all the possible (x,y) coordinates for the following linear equation y=3x+2

Answers

Answer:

x = 2/3

Step-by-step explanation:

To find x-intercept/zero, subtract y = 0

0 = 3x + 2

Move variable to the left-hand side and change its sign

-3 = 2

Divide both ides of the equation by - 3

x = - 2/3

Solution

x = - 2/3

Alternate form

x = - 0.6

List and describe the characteristics of a wave

Answers

Answer:

Crest = Highest point of the wave.

Trough = Lowest point of the wave.

Wavelength = Distance from one crest/trough to the next (m)

Wave Height = Height from trough to crest (m)

Wave steepness = ratio of wave height to wavelength.

Amplitude = distance from the centre of wave to the bottom of the trough (m)

Step-by-step explanation:

34 full. He uses 16 of a full tank’s gas per day driving to and from work.

How many days can Drew drive to work with the gas he has in the tank?

Answers

He can go one day with the gas he has

Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this is not always possible. An analysis of the amount of interest paid monthly by a bank's Visa cardholders reveals that the amount is normally distributed with a mean of 2525 dollars and a standard deviation of 88 dollars. (Round all decimals to at least 3 places.) (a) What proportion of the bank's Visa cardholders pay more than 2828 dollars in interest

Answers

Complete Question

Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this is not always possible. An analysis of the amount of interest paid monthly by a bank's Visa cardholders reveals that the amount is normally distributed with a mean of 25 dollars and a standard deviation of 8 dollars. (Round all decimals to at least 3 places.) (a) What proportion of the bank's Visa cardholders pay more than 28 dollars in interest

Answer:

0.354

Step-by-step explanation:

We solve for z score in this question.

The formula is given as:

z = (x-μ)/σ, where

x is the raw score = $28

μ is the population mean = $25

σ is the population standard deviation = $8

z= 28 - 25/8

z = 0.375

P-value from Z-Table:

P(x<28) = 0.64617

P(x>28) = 1 - P(x<28)

= 1 - 0.64617

= 0.35383

Approximately to 3 decimal places = 0.354

The proportion of the bank's Visa cardholders pay more than 28 dollars in interest is 0.354.

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