Robert is a stuntman planning to jump off a bicycle ramp and over an array of trucks. He modeled a few relationships. Which of the following composite functions represents the distance of Roberts jump as a function of the height of the ramp?

$$D\left(S\left(r\right)\right)$$

$$S\left(D\left(k\right)\right)$$

$$S\left(T\left(k\right)\right)$$

$$T\left(S\left(r\right)\right)$$

Bart is gift wrapping cube-shaped boxes for his class fundraiser. He has modeled the following relationships. (See image) Which 2 of the following composed functions make sense in this context

$$P\left(S\left(m\right)\right)$$

$$R\left(S\left(m\right)\right)$$

$$R\left(P\left(a\right)\right)$$

$$S\left(R\left(x\right)\right)$$

Composite Functions Less

Quiz

•

Mathematics

•

11th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF-BF.A.1C, HSF-BF.A.1B, HSF.BF.A.1

+2

Standards-aligned

Anthony Clark

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given f(x)= -3x+7 and g(x)=2x² - 8, find f(g(x)).

f(g(x))= -6x²+31

f(g(x))= -6x²+24

f(g(x))=18x²-84x+6

f(g(x))=9x²-42x-1

Tags

CCSS.HSF-BF.A.1C

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is f(g(3))?

1/8

8

1/4

1/2

Tags

CCSS.HSF-BF.A.1C

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

f(x) = 3x + 10
g(x) = x - 2
Find g(f(-10))

-42

-26

-18

None of these.

Tags

CCSS.HSF-BF.A.1C

4.

MATCH QUESTION

1 min • 4 pts

g(f(x))

g(g(x))

f(f(x))

f(g(x))

Tags

CCSS.HSF.BF.A.1

5.

MATH RESPONSE QUESTION

1 min • 1 pt

Mathematical Equivalence

ON

Tags

CCSS.HSF.BF.A.1.b

6.

MATH RESPONSE QUESTION

1 min • 1 pt

Mathematical Equivalence

ON

Tags

CCSS.HSF.BF.A.1

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

(f)(-7)(g)(-7)

(fg(-7))

f(g(-7))

g(f(-7))

Tags

CCSS.HSF-BF.A.1C

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Composite Functions Less

20 questions

Given f(x)= -3x+7 and g(x)=2x² - 8, find f(g(x)).

What is f(g(3))?

f(x) = 3x + 10
g(x) = x - 2
Find g(f(-10))

f(x) = 3x + 10
g(x) = x - 2
Find (f∘g)(0)

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of g(f(-2)).

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Composite Functions Less

20 questions

Given f(x)= -3x+7 and g(x)=2x2 - 8, find f(g(x)).

What is f(g(3))?

f(x) = 3x + 10g(x) = x - 2Find g(f(-10))

f(x) = 3x + 10g(x) = x - 2Find (f∘g)(0)

Given that f(x) = x2 + x and g(x) = 3x + 1, find the value of g(f(-2)).

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Given f(x)= -3x+7 and g(x)=2x² - 8, find f(g(x)).

f(x) = 3x + 10
g(x) = x - 2
Find g(f(-10))

f(x) = 3x + 10
g(x) = x - 2
Find (f∘g)(0)

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of g(f(-2)).