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What is (f+g)(x)(f + g)(x)?\newlinef(x)=4xf(x) = -4x\newlineg(x)=2x2+2g(x) = -2x^2 + 2\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______

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Q. What is (f+g)(x)(f + g)(x)?\newlinef(x)=4xf(x) = -4x\newlineg(x)=2x2+2g(x) = -2x^2 + 2\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______
  1. Identify Formula: Identify the formula for (f+g)(x)(f + g)(x). The correct formula is (f+g)(x)=f(x)+g(x)(f + g)(x) = f(x) + g(x).
  2. Substitute Values: We have f(x)=4xf(x) = -4x and g(x)=2x2+2g(x) = -2x^2 + 2. Substitute these values into the formula to get (f+g)(x)=(4x)+(2x2+2)(f + g)(x) = (-4x) + (-2x^2 + 2).
  3. Simplify Equation: Simplify the equation (f+g)(x)=(4x)+(2x2+2)(f + g)(x) = (-4x) + (-2x^2 + 2) to find (f+g)(x)(f + g)(x).(f+g)(x)=2x24x+2(f + g)(x) = -2x^2 - 4x + 2

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