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

Composition of Functions Answers

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1
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Which description best explains the domain of ?

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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
2
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If and n(x) = x – 3, which function has the same domain as ?

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3

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

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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)
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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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

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

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37
B
97
C
126
D
606
6

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

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7

For which pair of functions is ?

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and
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and
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and
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and
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8

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

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9

If and , what is the range of ?

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10

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

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5 + (5 + x)

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