Function Operations Answers

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Which expression is equivalent to (f + g)(4)?

A
f(4) + g(4)
B
f(x) + g(4)
C
f(4 + g(4))
D
4(f(x) + g(x))
2
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Which expression is equivalent to ?

Question illustration
A
f (5) times g (5)
Option A
B
f (5) + g (5)
Option B
C
5 f (5)
Option C
D
5 g (5)
Option D
4

Which expression is equivalent to (st)(6)?

A
s(t(6))
B
s(x) × t(6)
C
s(6) × t(6)
D
6 × s(x) × t(x)
5

The graphs of f(x) and g(x) are shown below. For what interval is the value of (f – g)(x) negative?

Question illustration
A
(negative infinity, negative 1)
Option A
B
(negative infinity, 2)
Option B
C
(0, 3)
Option C
D
(2, infinity)
Option D
6

If p(x) = x2 – 1 and , which expression is equivalent to (p – q)(x)?

Question illustration
A
5(x – 1) – x2 – 1
B
(5x – 1) – (x2 – 1)
C
(x2 – 1) – 5(x – 1)
D
(x2 – 1) – 5x – 1
7

If and d(x) = x + 3, what is the domain of (cd)(x)?

Question illustration
A
all real values of x
B
all real values of x except x = 2
C
all real values of x except x = –3
D
all real values of x except x = 2 and x = –3
9

If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?

A
6 – 3 – (4 + 3)2
B
6 – 3 – (4 – 32)
C
6(3) – 4 + 32
D
6(3) – 4 – 32

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