Let $f(x)=5x-2$ and $g(x)=x^2+1$. Find $(gcircf)(3)$.

Step-by-step solution

1. Compute $f(3)=5\times 3-2=13$.
2. Apply $g$ to this result: $g(13)=13^2+1=169+1=170$.
3. Hence $(g\circ f)(3)=170$.

Concept tested: Composition of functions

Published 10 October 2026 · How this solution was prepared and checked