7
QuizMultiple Choice

Composition of Polynomial Functions

Question 7 • Algebra III A

Which expression represents the composition g(f(x)) for the functions below?f(x) = –3x2g(x) = 3x

Answer
A
–9x3
B
9x2
C
–9x2
D
–27x2

Explanation

To find g(f(x)), substitute f(x) = −3x² into g(x) = 3x. This gives g(f(x)) = 3(−3x²) = −9x², which is choice C, −9x².

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