Subjects algebra

Function Product 58616B

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1. **State the problem:** We are given two functions $h(x) = -5x + 1$ and $g(x) = 2x^2$. We need to find the value of $h(-2) \times g(2)$. 2. **Recall the formulas:** - For $h(x)$, substitute $x$ with the given value and simplify. - For $g(x)$, substitute $x$ with the given value and simplify. - Multiply the results of $h(-2)$ and $g(2)$. 3. **Calculate $h(-2)$:** $$h(-2) = -5(-2) + 1 = 10 + 1 = 11$$ 4. **Calculate $g(2)$:** $$g(2) = 2(2)^2 = 2 \times 4 = 8$$ 5. **Multiply the two results:** $$h(-2) \times g(2) = 11 \times 8 = 88$$ **Final answer:** $$\boxed{88}$$