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What is (f+g)(x)(f + g)(x)?\newlinef(x)=2x2+xf(x) = 2x^2 + x\newlineg(x)=3x2g(x) = 3x^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)=2x2+xf(x) = 2x^2 + x\newlineg(x)=3x2g(x) = 3x^2\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______
  1. Given Functions: We have:\newlinef(x)=2x2+xf(x) = 2x^2 + x\newlineg(x)=3x2g(x) = 3x^2\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)=(2x2+x)+(3x2)(f + g)(x) = (2x^2 + x) + (3x^2)
  2. Addition of Functions: Combine like terms to simplify the expression.\newline(f+g)(x)=2x2+3x2+x(f + g)(x) = 2x^2 + 3x^2 + x\newline(f+g)(x)=5x2+x(f + g)(x) = 5x^2 + x\newlineThis is the simplified form of the polynomial.

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