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What is (f+g)(x)(f + g)(x)?\newlinef(x)=3x2f(x) = 3x^2\newlineg(x)=3x2−2xg(x) = 3x^2 - 2x\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______

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Add and subtract functionsright chevron icon

Full solution

Q. What is (f+g)(x)(f + g)(x)?\newlinef(x)=3x2f(x) = 3x^2\newlineg(x)=3x2−2xg(x) = 3x^2 - 2x\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)=3x2f(x) = 3x^2\newlineg(x)=3x2−2xg(x) = 3x^2 - 2x\newline(f+g)(x)=(3x2)+(3x2−2x)(f + g)(x) = (3x^2) + (3x^2 - 2x)
  2. Combine like terms: Combine like terms to simplify the expression.\newline(f+g)(x)=3x2+3x2−2x(f + g)(x) = 3x^2 + 3x^2 - 2x\newline(f+g)(x)=6x2−2x(f + g)(x) = 6x^2 - 2x

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