7
AssignmentMultiple Choice

Composition of Polynomial Functions

Question 7 • Algebra III A

Evaluate the compositions indicated for the given functions.f (x) = –2x3, g(x) = x2 + 3x – 8, h(x) = 5x f (g(h(–1)))

Answer
A
–16
B
–12
C
10
D
16

Explanation

Work from the inside out: h(−1) = 5(−1) = −5. Then g(−5) = (−5)² + 3(−5) − 8 = 25 − 15 − 8 = 2. Finally, f(2) = −2(2³) = −16, so the answer is A, −16.

AI-written and checked against the verified answer.

Previous
Next