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What is (f+g)(x)(f + g)(x)?\newlinef(x)=−3x2f(x) = -3x^2\newlineg(x)=−2x2−3xg(x) = -2x^2 - 3x\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)=−3x2f(x) = -3x^2\newlineg(x)=−2x2−3xg(x) = -2x^2 - 3x\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______
  1. Given Functions: We have:\newlinef(x)=−3x2f(x) = -3x^2\newlineg(x)=−2x2−3xg(x) = -2x^2 - 3x\newlineNow, let's add these two functions to find (f+g)(x)(f + g)(x).\newline(f+g)(x)=f(x)+g(x)(f + g)(x) = f(x) + g(x)\newline(f+g)(x)=(−3x2)+(−2x2−3x)(f + g)(x) = (-3x^2) + (-2x^2 - 3x)
  2. Addition of Functions: Combine like terms to simplify the expression.\newline(f+g)(x)=−3x2−2x2−3x(f + g)(x) = -3x^2 - 2x^2 - 3x\newline(f+g)(x)=−5x2−3x(f + g)(x) = -5x^2 - 3x\newlineThis is the simplified form of the polynomial.

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