4
QuizMultiple Choice

Composition of Polynomial Functions

Question 4 • Algebra III A

If f(x) = x5 – 1, g(x) = 5x2, and h(x) = 2x, which expression is equivalent to [g o f o h](9)?

Answer
A
2(5(95 – 1)2)
B
2((5 · 92)5 – 1)
C
5((2 · 9)5 – 1)2
D
(5(2 · 9)2)5 – 1

Explanation

Composition is evaluated from the inside out. First, h(9) = 2 · 9; then f(h(9)) = (2 · 9)^5 − 1; finally, g squares that result and multiplies it by 5, giving 5((2 · 9)^5 − 1)^2, which is choice C.

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