1. **Problem statement:** Given functions $f: x \to x + 3$ and $g: x \to x^2$, evaluate $g(f(2))$. 2. **Step 1: Find $f(2)$** Using the definition of $f$, substitute $x=2$: $$f(2) = 2 + 3 = 5$$ 3. **Step 2: Find $g(f(2)) = g(5)$** Using the definition of $g$, substitute $x=5$: $$g(5) = 5^2 = 25$$ 4. **Final answer:** $$g(f(2)) = 25$$ This completes the evaluation of $g(f(2))$ using the given functions.