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What is (f+g)(x)(f + g)(x)?\newlinef(x)=2x2−7xf(x) = 2x^2 - 7x\newlineg(x)=2x2g(x) = 2x^2\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)=2x2−7xf(x) = 2x^2 - 7x\newlineg(x)=2x2g(x) = 2x^2\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)=2x2−7xf(x) = 2x^2 - 7x\newlineg(x)=2x2g(x) = 2x^2\newline(f+g)(x)=(2x2−7x)+(2x2)(f + g)(x) = (2x^2 - 7x) + (2x^2)
  2. Combine like terms: Combine like terms to simplify the expression.\newline(f+g)(x)=2x2−7x+2x2(f + g)(x) = 2x^2 - 7x + 2x^2\newline(f+g)(x)=4x2−7x(f + g)(x) = 4x^2 - 7x

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