AnswersINMT3 Integrated Math 3 Sem 1 26-27Composition of Functions

Composition of Functions Answers

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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
3
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If and h(x) = 4 – x, what is the value of ?

Question illustration
A
mc025-3.jpg
Option A
B
mc025-4.jpg
Option B
C
mc025-5.jpg
Option C
D
mc025-6.jpg
Option D
4

For which pair of functions is ?

Question illustration
A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
5

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
6

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
7

If and , what is the range of ?

Question illustration
A
mc021-4.jpg
Option A
B
mc021-5.jpg
Option B
C
mc021-6.jpg
Option C
D
mc021-7.jpg
Option D
8

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

Question illustration
A
mc003-3.jpg
Option A
B
mc003-4.jpg
Option B
C
mc003-5.jpg
Option C
D
5 + (5 + x)
9

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 ?

Question illustration
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
10

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

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