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What is (f+g)(x)(f + g)(x)?\newlinef(x)=−3x2+8xf(x) = -3x^2 + 8x\newlineg(x)=−3xg(x) = -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)=−3x2+8xf(x) = -3x^2 + 8x\newlineg(x)=−3xg(x) = -3x\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______
  1. Substitute functions into formula: (f+g)(x)=f(x)+g(x)(f + g)(x) = f(x) + g(x)\newlineWe will substitute the given functions into this formula.\newline(f+g)(x)=(−3x2+8x)+(−3x)(f + g)(x) = (-3x^2 + 8x) + (-3x)
  2. Combine like terms: Now we combine like terms to simplify the expression.\newline(f+g)(x)=−3x2+8x−3x(f + g)(x) = -3x^2 + 8x - 3x\newline(f+g)(x)=−3x2+(8x−3x)(f + g)(x) = -3x^2 + (8x - 3x)\newline(f+g)(x)=−3x2+5x(f + g)(x) = -3x^2 + 5x

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