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What is (f+g)(x)(f + g)(x)?\newlinef(x)=x2f(x) = -x^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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Q. What is (f+g)(x)(f + g)(x)?\newlinef(x)=x2f(x) = -x^2\newlineg(x)=3x2+2xg(x) = -3x^2 + 2x\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______
  1. Given Functions: We have:\newlinef(x)=x2f(x) = -x^2\newlineg(x)=3x2+2xg(x) = -3x^2 + 2x\newlineNow we will add these two functions together.\newline(f+g)(x)=(x2)+(3x2+2x)(f + g)(x) = (-x^2) + (-3x^2 + 2x)
  2. Addition of Functions: Combine like terms to simplify the expression.\newline(f+g)(x)=x23x2+2x(f + g)(x) = -x^2 - 3x^2 + 2x\newline(f+g)(x)=4x2+2x(f + g)(x) = -4x^2 + 2x

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