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What is (f+g)(x)(f + g)(x)?\newlinef(x)=−5xf(x) = -5x\newlineg(x)=x2−10xg(x) = x^2 - 10x\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)=−5xf(x) = -5x\newlineg(x)=x2−10xg(x) = x^2 - 10x\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)=−5xf(x) = -5x and g(x)=x2−10xg(x) = x^2 - 10x. Substitute these values into the formula to get (f+g)(x)=(−5x)+(x2−10x)(f + g)(x) = (-5x) + (x^2 - 10x).
  3. Simplify Equation: Simplify the equation (f+g)(x)=(−5x)+(x2−10x)(f + g)(x) = (-5x) + (x^2 - 10x) to find (f+g)(x)(f + g)(x).\newline(f+g)(x)=x2−10x−5x(f + g)(x) = x^2 - 10x - 5x\newline(f+g)(x)=x2−15x(f + g)(x) = x^2 - 15x

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