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What is (f+g)(x)(f + g)(x)?\newlinef(x)=x2f(x) = x^2\newlineg(x)=−2x2+5xg(x) = -2x^2 + 5x\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______

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Full solution

Q. What is (f+g)(x)(f + g)(x)?\newlinef(x)=x2f(x) = x^2\newlineg(x)=−2x2+5xg(x) = -2x^2 + 5x\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______
  1. Substitute functions into formula: Now we substitute the given functions into the formula. \newlinef(x)=x2f(x) = x^2\newlineg(x)=−2x2+5xg(x) = -2x^2 + 5x\newline(f+g)(x)=x2+(−2x2+5x)(f + g)(x) = x^2 + (-2x^2 + 5x)
  2. Combine like terms: Combine like terms to simplify the expression.\newline(f+g)(x)=x2−2x2+5x(f + g)(x) = x^2 - 2x^2 + 5x\newline(f+g)(x)=−x2+5x(f + g)(x) = -x^2 + 5x

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