Composition of Functions Answers

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For which pair of functions is ?

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A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
2
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If h(x) = 6 – x, what is the value of ?

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A
–4
B
–2
C
10
D
16
3

If and n(x) = x – 3, which function has the same domain as ?

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Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

If h(x) = 5 + x and , which expression is equivalent to ?

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Option A
B
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Option B
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D
5 + (5 + x)
5

If f(x) = x2 + 1 and g(x) = x – 4, which value is equivalent to ?

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A
37
B
97
C
126
D
606
6

If and g(x) = 5x – 4, what is the domain of ?

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Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

Fifteen percent of an employee’s taxable income is collected each paycheck. Before taxes are removed from each paycheck, $350 of tax-exempt expenses is taken out. If the variable x represents the employee’s pay before tax-exempt expenses and taxes are removed, which expression represents the employee’s take-home pay after these deductions?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

If and , what is the range of ?

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Option A
B
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Option B
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Option
Option D
9

If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to ?

Question illustration
A
(3x + 2)(x 2 + 1)
B
3x 2 + 1 + 2
C
(3x + 2)2 + 1
D
3(x 2 + 1) + 2
10

If and h(x) = 4 – x, what is the value of ?

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

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