5
QuizMultiple Choice

Function Operations

Question 5 • FL-1200330-Algebra 2 Sem 1 - Flex

If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?

Answer
A
6 – 3 – (4 + 3)2
B
6 – 3 – (4 – 32)
C
6(3) – 4 + 32
D
6(3) – 4 – 32

Explanation

By definition, (g − f)(3) = g(3) − f(3). Substitute into the functions: g(3) = 6(3), and f(3) = 4 − 3², so the expression is 6(3) − (4 − 3²), which simplifies to 6(3) − 4 + 3². That matches choice C.

AI-written and checked against the verified answer.

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