Composition of Functions

Question 1

What is f(g(13))?

Revolt · Accepted Answer

C: 32

Question 2

What is f(g(0))?

Revolt · Accepted Answer

C: 1

Question 3

Given: f(x) and g(x) The composite function is X x² + 2x - 2x² + 2x✔ x² - 2.

Revolt · Accepted Answer

A: X x² + 2x - 2

Question 4

What are the restrictions of the domain of f(g(x))?

Revolt · Accepted Answer

B: x -3

Question 5

h(g(f(x))) = ✔ -84X 8 x²

Revolt · Accepted Answer

A: ✔  -8

Question 6

What is f(f(x))?

Revolt · Accepted Answer

B: x4 + 2x2 + 2

Question 7

Given: .What are the restrictions on the domain of ?

Revolt · Accepted Answer

x ≥ 6

Question 8

What is g(h(10))?

Revolt · Accepted Answer

D:

Question 9

⇒ 3

Revolt · Accepted Answer

10

Question 10

Explain how to write a composite function to find the area of the region at time t.

Revolt · Accepted Answer

To write a composite function for the area at time t, you first identify the area formula as a function of the radius, A(r) = πr², and the radius as a function of time, r(t). Then, you substitute the expression for r(t) into the area formula in place of the variable r. This creates the composition A(r(t)), which can be written as A(r(t)) = π(r(t))².

Composition of Functions Answers

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