Function Operations Answers

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If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(–2)?

–196

–168

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

6 – 3 – (4 + 3)2

6 – 3 – (4 – 32)

6(3) – 4 + 32

6(3) – 4 – 32

If f(x) = 3x2 + 1 and g(x) = 1 – x, what is the value of (f – g)(2)?

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

(negative infinity, negative 1)

(negative infinity, 2)

(0, 3)

(2, infinity)

If f(x) = x2 – 2x and g(x) = 6x + 4, for which value of x does (f + g)(x) = 0?

–4

–2

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

all real values of x

all real values of x except x = 2

all real values of x except x = –3

all real values of x except x = 2 and x = –3

The graphs of f(x) and g(x) are shown below. Which of the following is the graph of (g – f)(x)?

On a coordinate plane, a straight line with a negative slope goes through points (negative 2, 6), (0, 0), and (2, negative 6)

On a coordinate plane, a straight line with a negative slope goes through points (negative 6, 6), (0, 0), and (6, negative 6).

On a coordinate plane, a straight line with a positive slope goes through points (negative 2, negative 6), (0, 0), and (2, 6).

On a coordinate plane, a straight line with a positive slope goes through points (negative 6, negative 6), (0, 0), and (6, 6).

If and , what is the value of (f – g)(144)?

–84

–60

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

f(4) + g(4)

f(x) + g(4)

f(4 + g(4))

4(f(x) + g(x))

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

s(t(6))

s(x) × t(6)

s(6) × t(6)

6 × s(x) × t(x)

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