Function Operations Answers
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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)2
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If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(–2)?
A
–196B
–168C
22D
783
If f(x) = x2 – 2x and g(x) = 6x + 4, for which value of x does (f + g)(x) = 0?
A
–4B
–2C
2D
44
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))5
If f(x) = 3x2 + 1 and g(x) = 1 – x, what is the value of (f – g)(2)?
A
12B
14C
36D
386
The graphs of f(x) and g(x) are shown below. For what interval is the value of (f – g)(x) negative?
A
(negative infinity, negative 1)
B
(negative infinity, 2)
C
(0, 3)
D
(2, infinity)
7
If f(x) = 3 – 2x and , what is the value of ?
A
–169B
–1C
13D
1048
If r(x) = 3x – 1 and s(x) = 2x + 1, which expression is equivalent to ?
A
StartFraction 3 (6) minus 1 Over 2 (6) + 1 EndFraction
B
StartFraction (6) Over 2 (6) + 1 EndFraction
C
StartFraction 36 minus 1 Over 26 + 1 EndFraction
D
StartFraction (6) minus 1 Over (6) + 1 EndFraction
9
The graphs of f(x) and g(x) are shown below. Which of the following is the graph of (g – f)(x)?
A
On a coordinate plane, a straight line with a negative slope goes through points (negative 2, 6), (0, 0), and (2, negative 6)
B
On a coordinate plane, a straight line with a negative slope goes through points (negative 6, 6), (0, 0), and (6, negative 6).
C
On a coordinate plane, a straight line with a positive slope goes through points (negative 2, negative 6), (0, 0), and (2, 6).
D
On a coordinate plane, a straight line with a positive slope goes through points (negative 6, negative 6), (0, 0), and (6, 6).
10
If f(x) = 16x – 30 and g(x) = 14x – 6, for which value of x does (f – g)(x) = 0?
A
–18B
–12C
12D
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