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What is (f+g)(x)(f + g)(x)?\newlinef(x)=2x2+5xf(x) = 2x^2 + 5x\newlineg(x)=4xg(x) = 4x\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+5xf(x) = 2x^2 + 5x\newlineg(x)=4xg(x) = 4x\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______
  1. Given Functions: We have:\newlinef(x)=2x2+5xf(x) = 2x^2 + 5x\newlineg(x)=4xg(x) = 4x\newlineNow, we add the two functions together to find (f+g)(x)(f + g)(x).\newline(f+g)(x)=(2x2+5x)+(4x)(f + g)(x) = (2x^2 + 5x) + (4x)
  2. Addition of Functions: Combine the like terms to simplify the expression.\newline(f+g)(x)=2x2+(5x+4x)(f + g)(x) = 2x^2 + (5x + 4x)\newline(f+g)(x)=2x2+9x(f + g)(x) = 2x^2 + 9x

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