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What is (f+g)(x)(f + g)(x)?\newlinef(x)=3x23f(x) = 3x^2 - 3\newlineg(x)=x2g(x) = x^2\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)=3x23f(x) = 3x^2 - 3\newlineg(x)=x2g(x) = x^2\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. \newlinef(x)=3x23f(x) = 3x^2 - 3\newlineg(x)=x2g(x) = x^2\newline(f+g)(x)=(3x23)+(x2)(f + g)(x) = (3x^2 - 3) + (x^2)
  2. Combine like terms: Combine like terms to simplify the expression.\newline(f+g)(x)=3x2+x23(f + g)(x) = 3x^2 + x^2 - 3\newline(f+g)(x)=4x23(f + g)(x) = 4x^2 - 3

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