AnswersGA-Advanced Algebra Concepts and Connections CRUnit Test

Composition of Functions Answers

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1
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If h(x) = 5 + x and , which expression is equivalent to ?

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Option
Option A
B
Option
Option B
C
Option
Option C
D
5 + (5 + x)
2
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If p(x) = 2x2 – 4x and q(x) = x – 3, what is ?

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A
2x2 – 4x + 12
B
2x2 – 16x + 18
C
2x2 – 16x + 30
D
2x2 – 16x + 15
3

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

Question illustration
A
37
B
97
C
126
D
606
4

The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except –3. Which of the following describes the domain of ?

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A
all real values except and the x for which
Option A
B
all real values except and the x for which
Option B
C
all real values except and the x for which
Option C
D
all real values except and the x for which
Option D
5

Which description best explains the domain of ?

Question illustration
A
the elements in the domain of f(x) for which g(f(x)) is defined
B
the elements in the domain of f(x) for which g(f(x)) is not zero
C
the elements in the domain of g(x) for which g(f(x)) is defined
D
the elements in the domain of g(x) for which g(f(x)) is not zero
6

If h(x) = x – 7 and g(x) = x2, which expression is equivalent to ?

Question illustration
A
(5 – 7)2
B
(5)2 – 7
C
(5)2(5 – 7)
D
(5 – 7)x2
7

If and , what is the range of ?

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Option
Option A
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Option B
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Option
Option D
8

If h(x) = 6 – x, what is the value of ?

Question illustration
A
–4
B
–2
C
10
D
16
9

If s(x) = x – 7 and t(x) = 4x2 – x + 3, which expression is equivalent to ?

Question illustration
A
4(x – 7)2 – x – 7 + 3
B
4(x – 7)2 – (x – 7) + 3
C
(4x2 – x + 3) – 7
D
(4x2 – x + 3)(x – 7)
10

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

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Option
Option A
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Option
Option B
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Option
Option C
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Option
Option D
11

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
12

For which pair of functions is ?

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and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
13

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

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Option
Option A
B
Option
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Option
Option C
D
Option
Option D
14

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?

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

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