AnswersOC27 MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006PCombinations and Separations of Functions

Lesson 2.4: Composition of Functions Answers

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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
2
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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
3

If and , what is the range of ?

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

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
5

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

Question illustration
A
mc019-3.jpg
Option A
B
mc019-4.jpg
Option B
C
mc019-5.jpg
Option C
D
mc019-6.jpg
Option D
6

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)
7

For which pair of functions is ?

Question illustration
A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
8

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

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
5 + (5 + x)
9

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
10

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
11

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

Question illustration
A
–4
B
–2
C
10
D
16
12

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
13

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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