5
QuizMultiple Choice

Composition of Polynomial Functions

Question 5 • Algebra III A

If f(x) = –2x + 7 and g(x) = x2 – 2, what is [f o g](3)?

Answer
A
–7
B
–1
C
1
D
7

Explanation

The composition [f o g](3) means f(g(3)). First, g(3) = 3² − 2 = 7. Then f(7) = −2(7) + 7 = −7, so the correct choice is −7.

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