Question: Given the functions $f(x) = 2x^2$ and $g(x) = -3x + 15$, find $f(4) + g(4)$.
1. **State the problem:** We need to find the value of $f(4) + g(4)$ given the functions $f(x) = 2x^2$ and $g(x) = -3x + 15$.
2. **Recall the formulas:**
- $f(x) = 2x^2$
- $g(x) = -3x + 15$
3. **Calculate $f(4)$:**
$$f(4) = 2 \times 4^2 = 2 \times 16 = 32$$
4. **Calculate $g(4)$:**
$$g(4) = -3 \times 4 + 15 = -12 + 15 = 3$$
5. **Add the results:**
$$f(4) + g(4) = 32 + 3 = 35$$
6. **Final answer:**
The value of $f(4) + g(4)$ is **35**.