1. **State the problem:** We are given two functions $h(x) = -5x + 1$ and $g(x) = 2x^2$. We need to find $g(h(-1))$, which means we first find $h(-1)$ and then substitute that result into $g(x)$. 2. **Find $h(-1)$:** Substitute $x = -1$ into $h(x)$: $$h(-1) = -5(-1) + 1 = 5 + 1 = 6$$ 3. **Substitute $h(-1)$ into $g(x)$:** Now find $g(6)$: $$g(6) = 2(6)^2 = 2 \times 36 = 72$$ 4. **Final answer:** $$g(h(-1)) = 72$$ This means when you input $-1$ into $h(x)$ and then input the result into $g(x)$, the output is 72.