Function Operations Answers

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

–84

–60

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

–196

–168

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 f(x) = 3 – 2x and , what is the value of ?

–169

–1

104

Which expression is equivalent to ?

f (5) times g (5)

f (5) + g (5)

5 f (5)

5 g (5)

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

–4

–2

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

s(t(6))

s(x) × t(6)

s(6) × t(6)

6 × s(x) × t(x)

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

If f(x) and g(x) are quadratic functions but (f + g)(x) produces the graph below, which statement must be true?

The leading coefficients of f(x) and g(x) are opposites.

The leading coefficients of f(x) and g(x) are opposite reciprocals.

The leading coefficients of f(x) and g(x) are the same.

The leading coefficients of f(x) and g(x) are reciprocals.

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