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What is (f+g)(x)(f + g)(x)?\newlinef(x)=4xf(x) = 4x\newlineg(x)=−3x2+9xg(x) = -3x^2 + 9x\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)=4xf(x) = 4x\newlineg(x)=−3x2+9xg(x) = -3x^2 + 9x\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______
  1. Given Functions: We have:\newlinef(x)=4xf(x) = 4x\newlineg(x)=−3x2+9xg(x) = -3x^2 + 9x\newlineNow, we add the two functions together to find (f+g)(x)(f + g)(x).\newline(f+g)(x)=4x+(−3x2+9x)(f + g)(x) = 4x + (-3x^2 + 9x)
  2. Addition of Functions: Combine like terms to simplify the expression.\newline(f+g)(x)=−3x2+(4x+9x)(f + g)(x) = -3x^2 + (4x + 9x)\newline(f+g)(x)=−3x2+13x(f + g)(x) = -3x^2 + 13x

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