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Given the problem, here is the revised explanation following the specified format: Step 1: **Determine the algebraic expression for the sum of the functions \(g(x)\) and \(f(x)\).** (g+f)(x) = g(x) + f(x) = (-2x + 2) + (3x^2 + 4) = 3x^2 - 2x + 6 Step 2: **Substitute \(x = -3\) into the combined function \((g+f)(x)\).** (g+f)(-3) = 3(-3)^2 - 2(-3) + 6 Step 3: **Evaluate the expression by calculating each term explicitly.** (g+f)(-3) = 3(9) + 6 + 6 = 27 + 6 + 6 = 39
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