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What is (f+g)(x)(f + g)(x)?\newlinef(x)=2x2f(x) = 2x^2\newlineg(x)=−x2−9xg(x) = -x^2 - 9x\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)=2x2f(x) = 2x^2\newlineg(x)=−x2−9xg(x) = -x^2 - 9x\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______
  1. Substitute functions into equation: Now we substitute the given functions into the equation. \newline(f+g)(x)=(2x2)+(−x2−9x)(f + g)(x) = (2x^2) + (-x^2 - 9x)
  2. Combine like terms: Combine like terms to simplify the expression.\newline(f+g)(x)=2x2−x2−9x(f + g)(x) = 2x^2 - x^2 - 9x\newline(f+g)(x)=x2−9x(f + g)(x) = x^2 - 9x

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