Function Operations Answers

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If r(x) = 3x – 1 and s(x) = 2x + 1, which expression is equivalent to ?

StartFraction 3 (6) minus 1 Over 2 (6) + 1 EndFraction

StartFraction (6) Over 2 (6) + 1 EndFraction

StartFraction 36 minus 1 Over 26 + 1 EndFraction

StartFraction (6) minus 1 Over (6) + 1 EndFraction

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

–84

–60

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

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

–169

–1

104

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 (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)

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

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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