Function Operations Answers
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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.3
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
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 = –35
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)6
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 – 329
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))Did you find these answers helpful?
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