AnswersFL-1200330-Algebra 2 Sem 1 - FlexComposition of Functions

Composition of Functions Answers

12 verified answers2 views
1
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What is f(g(13))?

A
16
B
26
C
32
D
The function is undefined.
2
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What is f(g(0))?

A
-1
B
0
C
1
D
This composition is undefined.
3

Given: f(x) [image 1] and g(x) [image 2] The composite function [image 3] is X x² + 2x - 2x² + 2xx² - 2.

Question illustration
A
X x² + 2x - 2
B
x² + 2x
C
x² - 2
4

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

A
x -5
Option A
B
x -3
Option B
C
x 2
Option C
D
There are no restrictions.
Option D
6

Question text not available

Answers:
Selection 1:-40
7

+ -2020✔ -40 x

A
-20
B
20
C
✔ -40
11

What is f(f(x))?

A
x4 + 2x2 + 1
B
x4 + 2x2 + 2
C
x4 + 2
D
x4 + 1
12

Given: [image 1] .What are the restrictions on the domain of [image 2] ? [image 3]

Question illustration
Answer:

x ≥ 6

14

What is g(h(10))?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
15

Question text not available

Question illustration
Answer:

10

16

What did you include in your answer?

A
Option
Option A
B
Option
Option B
C
Option
Option C
17

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

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.

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Lesson 2.4: Composition of Functions