Function Operations Answers
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If and d(x) = x + 3, what is the domain of (cd)(x)?
A
all real values of xB
all real values of x except x = 2C
all real values of x except x = –3D
all real values of x except x = 2 and x = –32
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If f(x) = 16x – 30 and g(x) = 14x – 6, for which value of x does (f – g)(x) = 0?
A
–18B
–12C
12D
183
If f(x) and g(x) are quadratic functions but (f + g)(x) produces the graph below, which statement must be true?
A
The leading coefficients of f(x) and g(x) are opposites.B
The leading coefficients of f(x) and g(x) are opposite reciprocals.C
The leading coefficients of f(x) and g(x) are the same.D
The leading coefficients of f(x) and g(x) are reciprocals.4
If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?
A
6 – 3 – (4 + 3)2B
6 – 3 – (4 – 32)C
6(3) – 4 + 32D
6(3) – 4 – 326
If p(x) = x2 – 1 and , which expression is equivalent to (p – q)(x)?
A
5(x – 1) – x2 – 1B
(5x – 1) – (x2 – 1)C
(x2 – 1) – 5(x – 1)D
(x2 – 1) – 5x – 17
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
8
If and , what is the value of (f – g)(144)?
A
–84B
–60C
0D
4810
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).
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