Question: Suppose $f(x)=x^2+4$ and $g(x)=2x+1$. Find the value of $f(-2)g(-2)$.
1. **State the problem:** We need to find the value of $f(-2)g(-2)$ given the functions $f(x)=x^2+4$ and $g(x)=2x+1$.
2. **Recall the formulas:**
- $f(x) = x^2 + 4$
- $g(x) = 2x + 1$
3. **Calculate $f(-2)$:**
$$f(-2) = (-2)^2 + 4 = 4 + 4 = 8$$
4. **Calculate $g(-2)$:**
$$g(-2) = 2(-2) + 1 = -4 + 1 = -3$$
5. **Multiply $f(-2)$ and $g(-2)$:**
$$f(-2)g(-2) = 8 \times (-3) = -24$$
6. **Final answer:**
The value of $f(-2)g(-2)$ is **-24**.