Function Operations Answers

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If p(x) = x2 – 1 and , which expression is equivalent to (p – q)(x)?

5(x – 1) – x2 – 1

(5x – 1) – (x2 – 1)

(x2 – 1) – 5(x – 1)

(x2 – 1) – 5x – 1

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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 f(x) = 16x – 30 and g(x) = 14x – 6, for which value of x does (f – g)(x) = 0?

–18

–12

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

s(t(6))

s(x) × t(6)

s(6) × t(6)

6 × s(x) × t(x)

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.

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

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))

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

–84

–60

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