1. **State the problem:** We need to find the value of $g(2) \cdot h(3)$ given the function $g(x) = 5x - x^2$. However, the function $h(x)$ is not provided, so we can only evaluate $g(2)$. 2. **Evaluate $g(2)$:** Substitute $x=2$ into $g(x)$: $$g(2) = 5(2) - (2)^2 = 10 - 4 = 6$$ 3. **Evaluate $h(3)$:** Since $h(x)$ is not given, we cannot find $h(3)$. 4. **Conclusion:** The expression $g(2) \cdot h(3)$ simplifies to $6 \cdot h(3)$, but without $h(3)$, the product cannot be fully evaluated. **Final answer:** $g(2) \cdot h(3) = 6 \cdot h(3)$ (cannot simplify further without $h(x)$).