Function Inverses 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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If f(x) = 3x2 + 1 and g(x) = 1 – x, what is the value of (f – g)(2)?
A
12B
14C
36D
383
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).
4
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)
5
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.6
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 = –37
If f(x) = 16x – 30 and g(x) = 14x – 6, for which value of x does (f – g)(x) = 0?
A
–18B
–12C
12D
188
If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(–2)?
A
–196B
–168C
22D
789
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)10
If f(x) = 3 – 2x and , what is the value of ?
A
–169B
–1C
13D
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