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Function Operations

Question 8 • 26/27 ALGEBRA II A

r(x) = –x² + 3x s(x) = 2x + 1(s – r)(x) =

Answer
A
–x² + 3x – 2x + 1
B
(–x² + 3x) – (2x + 1)
C
(2x + 1) – (–x² + 3x)
D
2x + 1 – x² + 3x

Explanation

Subtract r(x) from s(x): (s − r)(x) = (2x + 1) − (−x² + 3x). This matches choice C, and simplifying gives x² − x + 1. The subtraction changes the signs of both terms in r(x).

AI-written and checked against the verified answer.

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