1. **State the problem:** Find the expression for the composition $gh(x)$ given the functions $f(x) = 4x + 5$, $g(x) = 2x^2$, and $h(x) = 7 - 2x$. 2. **Recall the definition of composition:** The composition $gh(x)$ means $g(h(x))$, which is the function $g$ applied to the output of $h(x)$. 3. **Write the formula:** $$gh(x) = g(h(x)) = 2(h(x))^2$$ 4. **Substitute $h(x)$:** $$gh(x) = 2(7 - 2x)^2$$ 5. **Expand the square:** $$(7 - 2x)^2 = 7^2 - 2 \times 7 \times 2x + (2x)^2 = 49 - 28x + 4x^2$$ 6. **Multiply by 2:** $$gh(x) = 2(49 - 28x + 4x^2) = 98 - 56x + 8x^2$$ 7. **Final answer:** $$gh(x) = 8x^2 - 56x + 98$$ This is the expression for $gh(x)$ based on the given functions.