1. **State the problem:** We are given two functions $g(x)$ and $h(x)$ (not explicitly stated here, but implied) and asked to find the expression for the composition $gh(x) = g(h(x))$ in simplest form. 2. **Write the expression for $gh(x)$:** The composition $gh(x)$ means we apply $h$ first, then apply $g$ to the result: $$gh(x) = g(h(x))$$ 3. **Simplify the expression:** Since the explicit forms of $g(x)$ and $h(x)$ are not provided in the question, we cannot simplify further without them. 4. **Find $g^{-1}(-2)$:** This means find the value of $x$ such that: $$g(x) = -2$$ 5. **Solve for $x$:** Without the explicit form of $g(x)$, we cannot solve for $x$. **Summary:** - To write $gh(x)$, substitute $h(x)$ into $g$. - To find $g^{-1}(-2)$, solve $g(x) = -2$ for $x$. Since the functions $g$ and $h$ are not given, the problem cannot be completed further. **Final answers:** - $gh(x) = g(h(x))$ (simplify when $g$ and $h$ are known) - $g^{-1}(-2)$ is the $x$ such that $g(x) = -2$ (solve when $g$ is known)