Subjects algebra

Function Composition 4Af7Be

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Search Solutions

Function Composition 4Af7Be


1. The problem asks for the value of the composition \( (f \circ g)(3) \), which means \( f(g(3)) \). 2. Given functions: \[ f(x) = 2x + 1 \] \[ g(x) = x^2 \] 3. First, find \( g(3) \): \[ g(3) = 3^2 = 9 \] 4. Now, substitute \( g(3) = 9 \) into \( f(x) \): \[ f(9) = 2(9) + 1 = 18 + 1 = 19 \] 5. Therefore, \( (f \circ g)(3) = 19 \).