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What is (f+g)(x)(f + g)(x)?\newlinef(x)=−4xf(x) = -4x\newlineg(x)=−3x2−4xg(x) = -3x^2 - 4x\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)=−3x2−4xg(x) = -3x^2 - 4x\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)=−3x2−4xg(x) = -3x^2 - 4x. Substitute these values into the formula to get (f+g)(x)=(−4x)+(−3x2−4x)(f + g)(x) = (-4x) + (-3x^2 - 4x).
  3. Simplify Equation: Simplify the equation (f+g)(x)=(−4x)+(−3x2−4x)(f + g)(x) = (-4x) + (-3x^2 - 4x) to find (f+g)(x)(f + g)(x).\newline(f+g)(x)=−4x−3x2−4x(f + g)(x) = -4x - 3x^2 - 4x\newlineCombine like terms to simplify the expression.\newline(f+g)(x)=−3x2−8x(f + g)(x) = -3x^2 - 8x

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