Solution: First, evaluate $ g(2) = 2^2 - 1 = 4 - 1 = 3 $. Then substitute into $ f(x) $: $ f(3) = 2(3) + 3 = 6 + 3 = 9 $. \boxed{9}

Sun, 03 May 2026 08:11:37 +0000

Understanding Nested Function Evaluation: A Step-by-Step Solution Functions are fundamental building blocks in mathematics and programming, enabling us to model relationships, transform inputs, and solve complex problems step by step. In this article, we explore a clear, structured approach to evaluating composite functions—using a specific example to demonstrate how function composition works and how to arrive at a precise numerical result efficiently. ## Step 1: Compute $ g(2) $ We begin with the function $ g(x) $. According to the problem: