2
AssignmentMultiple Choice

Simplifying Polynomial Expressions

Question 2 • Algebra III A

Given f (x) = 3x – 5 and g(x) = 2x + 1, find g(f(x)).

Answer
A
6x2 – 7x – 5
B
6x – 10
C
6x – 2
D
6x – 9

Explanation

Substitute f(x) = 3x − 5 into g(x) = 2x + 1: g(f(x)) = 2(3x − 5) + 1. Simplifying gives 6x − 10 + 1 = 6x − 9, which is choice D.

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