Perform the indicated operation
g(x)=x^3+5x and f(x)=2x-2
Find (g o f)(x)

Answers

Answer 1

Answer:

  g(f(x)) = 8x^3-24x^2+34x-18

Step-by-step explanation:

The composition is ...

  [tex](g\circ f)(x)=g(f(x))=g(2x-2)\\\\=(2x-2)^3+5(2x-2)\\\\=(2x)^3 +3(-2)(2x)^2+3(-2)^2(2x)+(-2)^3+10x-10\\\\=8x^3-24x^2 +24x-8+10x-10\\\\\boxed{(g\circ f)(x)=8x^3-24x^2+34x-18}[/tex]


Related Questions

a ball bounces 124 feet off the ground. each time it bounces it bounces half of its original height. How much tell the total is 500 feet

Answers

The answer is 250,112.5,56.25,28.125,14.0625, 7.03125

The graph shows the amount of rain that falls over time. Does the rain fall at a constant or variable rate? How much rain falls per hour?

thanks!​

Answers

Answer: yes, it does fall at a constant rate. for each hour there is one inch of rainfall.

Step-by-step explanation:

if the line goes the the origin (0,0) then that means that it is a constant rate. if you look at the chart, there is number on every other line. This means that there is an odd number on the other lines. If you then go up the line for 1 hour, then you will meet at lines intersecting to get 1 inch of rainfall per hour

bob has 20 apples, billy has 20 pears, bob gives 4 pears to his little sister, billys uncle gives him 69 bananas. What is the difference between the total fruits billy and bob have

Answers

Answer:

73

Step-by-step explanation:

Bob

20-4=16

Billy 20+69=89

89-16=73

If −9x+10y=−10 is a true equation, what would be the value of −5(−9x+10y)?

Answers

Answer:

Answer A

Step-by-step explanation:

It gives the answer of 23.45

6x+ 14 <--28
AND
3r + 28 < 25

Answers

Answer:

what?

Step-by-step explanation:

Trent buys a playground slide priced at $583. If the sales tax is 5%, how much tax will
Trent pay?

Answers

116.6 should be the answer

i will give you brainliest or whatever it’s called just pls answer within 45 minutes !!

Answers

Answer:

x = y1 x x1/ y2 x2

Step-by-step explanation:

Y'all i need some help with this.

Answers

Answer:

Divide everything by 100.

Step-by-step explanation:

If you divide every number you want by 100, you get a decimal out of 100.

If it takes 5 pounds of peanuts to make 9 jars of peanut butter, exactly how many pounds of peanuts is needed to make 24 jars of peanut butter?

Answers

Step-by-step explanation:

So it takes 5 pounds to make 9 jars of peanut butter and x pounds to make 24 jars of peanut. The equation is written as

5pounds=9 jars

? =24 jars

Then you cross multiply /work it out as

5×24÷9

And your final answer will be

13 1/3 pounds

1)
Find the value of x.

Answers

x=6

Explanation:

The opposite side is 35, and the sides are still the same length, but on the side it has +5, so when you multiply 5 by 6 you'll get 30. 6×5=30

30+5=35.

Therefore,

x is going to have to be 6.

1. For each incomplete expression, indicate the number that will result in the expression
being equal to 0.
Expression
2 -
3 +
4-
5+
6-
7+
Answer

Answers

Answer:

2-2=0, 3+(-3)=0, 4-4=0, 5+(-5)=0, 6-6=0, and 7+(-7)=0

Step-by-step explanation:

i have no idea what math this is or what its looking for so please comment how to improve the answer

The longest side of a triangle is always opposite the:

Answers

smallest interior angle

Answer:

angle with the greatest measure

Step-by-step explanation:

the greater length of the triangle is always opposite from the greater angle. hope this helps :)

Write the number for twenty-six million seven hundred thousand.​

Answers

Answer:

The answer is 26,700,000

kiyo bought a pizza for 12.75 and four medium drinks to Pauli’s pizza. Define a variable and write an expression to represent the total amount of money he spent. Then find the total cost if one drink costs $3.

Answers

The total cost, if one drink costs $3 is $27.75

Let the cost of a pizza be x

Let the cost of a drink be y

If kiyo bought a pizza for 12.75 and four medium drinks to Pauli’s pizza, this expressed as x + 4y

Since a pizza costs $12.75, hence x = $12.75

The function becomes 12.75 + 5y

f(y) = 12.75 + 5y

To get the total cost if one drink costs $3, hence;

f(3) = 12.75 + 5(3)

f(3) = 12.75 + 15

f(3) = 27.75

Hene the total cost, if one drink costs $3 is $27.75

Learn more on function here: https://brainly.com/question/9418047

Which is greater -1 or 0

Answers

Answer:

0

Step-by-step explanation:

Answer:

The answer would be 0.

Step-by-step explanation:

Any negative number is less than 0 and any positive number is greater than 0.

the vertex angle of isosceles triangle is 110 degrees. what are the measures of the base angles

Answers

Answer:

35°

Step-by-step explanation:

The base angles of an isosceles triangle are congruent , then

base angles = [tex]\frac{180-110}{2}[/tex] = [tex]\frac{70}{2}[/tex] = 35°

10. Andrew has deposited $5500 ond has withdrawn $4800 Two times consecutively. Find the amount in his account.

Answers

Answer:

-4100

Step-by-step explanation:

STEP ONE:

5500-4800(2)

STEP TWO:

5500-9600

STEP THREE:

Get -4100.

So, the answer is -4100.

The function f(x) is graphed below. Determine whether the degree of the function is
even or odd and whether the function itself is even or odd.

Answers

it’s is even bc it doesn’t go through the origin

Answer:

even

Step-by-step explanation:

ASAP HELPPPPPPPPP PLEASE!!!!

Answers

Answer:

1. y=3/5x +1

2. x = -3

3. y = 4

4. y = -1/3x + 4

5. y=5x + 4

6. y= 3/4 x + 1

7. y = 9/4x - 1/2

8. y = 5/3x

9. y = -5x +5

10. y = 2x - 5

11. y = -4x - 4

12. y = 1/4x - 4

Step-by-step explanation:

math lol

Show two ways three people could share a 5 segment chewy worm

Answers

Answer:

Each person would get 1/5 of 3 segments.

Each person would get 3/5 of a segment.  

Step-by-step explanation:

(3) (1/5) = 3/5 segments

please help me I'm not good at math :(


the options are:

exactly one real solution

infinitely many solutions

no real solution

two real solutions​

Answers

Answer: No real solution.

Step-by-step explanation:

Since the parabola never crosses the x-axis, there are no real solutions.

graph it pleaseeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

5c + 4f ≥ 200

c + f ≤ 60

c > 0

f > 0

The bottom of a rectangular swimming pool has a perimeter of 62 meters. Its area is 220 square meters. What are the dimensions of the pool?

_____ meters by _____ meters

Answers

Answer:

13640cubicmeter........

HELP ME PLZZZZ
its really hard and i cant solve it i have two more quetions to answer and thats it so plz help

Answers

Answer:

(-1, -6)

Step-by-step explanation:

Please Help

Factor the polynomial: x^3 + 3x - 2x - 6

Answers

Answer:

(x^2-2)(x+3)

Step-by-step explanation:

x^3 + 3x^2 - 2x - 6

x^2(x+3)-2(x+3)

(x^2-2)(x+3)

Please help due tmmr please help

Answers

Answer:

Leo´s response to the bully is a response of hurt and embarrassment. He seems sad and doesn´t even directly respond to the bullies ,¨several

students were huddled around Leo's desk... he had red rings around his eyes. He looked up at Hannah and said, "Why are people so mean?"

Explanation:

if Leo had posted something mean online the outcome would only have worsened. If it were him in the bullies shoes and the bully in his, the bully wouldve understood how these mean things make people feel.

Leo´s response to the bully is a response of hurt and embarrassment. He seems sad and doesn´t even directly respond to the bullies ,¨several

students were huddled around Leo's desk... he had red rings around his eyes. He looked up at Hannah and said, "Why are people so mean?"

Explanation:

if Leo had posted something mean online the outcome would only have worsened. If it were him in the bullies shoes and the bully in his, the bully wouldve understood how these mean things make people feel.

Leo´s response to the bully is a response of hurt and embarrassment. He seems sad and doesn´t even directly respond to the bullies ,¨several

students were huddled around Leo's desk... he had red rings around his eyes. He looked up at Hannah and said, "Why are people so mean?"

Explanation:

if Leo had posted something mean online the outcome would only have worsened. If it were him in the bullies shoes and the bully in his, the bully wouldve understood how these mean things make people feel.

Step-by-step explanation:

Dado P(x) = x2– kx + 2, hallar el valor de k para que P( – 2)=8

Answers

K =1 see attached picture


ABC is a right triangle. If AC = 7 and BC 8, find AB. Leave your answer in simplest radical form.

Answers

Step-by-step explanation:

We don't know if AB is a hypotenuse or leg.

If AB is hypotenuse:

[tex]AB=\sqrt{AC^2+BC^2} =\sqrt{7^2+8^2} =\sqrt{49+64} =\sqrt{113}[/tex]

If AB is leg:

[tex]AB=\sqrt{BC^2-AC^2} =\sqrt{8^2-7^2} =\sqrt{64-49} =\sqrt{15}[/tex]

For base/Perpendicular

AB²=8²-7²AB²=64-49AB²=15AB=√15

For Hypotenuse

AB²=8²+7²=64+49AB²=113AB=√113

solve inequalities by using transformation rules? 7(x-2)<4x-8​

Answers

Answer:

x < 2

Step-by-Step Explanation:

Which is a better deal: A can of 3 tennis balls for $3 or a box of 10 balls for $9?

Answers

Answer:

10 for 9$

Step-by-step explanation:

because say the each ball cpsts a dollar, and the total for 3 would be 3$ for the cost of 10 would be 9 so its less but more mo ey spent

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