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What is (f+g)(x)(f + g)(x)?\newlinef(x)=−3x2−6xf(x) = -3x^2 - 6x\newlineg(x)=−2x2g(x) = -2x^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)=−3x2−6xf(x) = -3x^2 - 6x\newlineg(x)=−2x2g(x) = -2x^2\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______
  1. Given Functions: We have:\newlinef(x)=−3x2−6xf(x) = -3x^2 - 6x\newlineg(x)=−2x2g(x) = -2x^2\newlineNow, we calculate (f+g)(x)(f + g)(x) by adding f(x)f(x) and g(x)g(x) together.\newline(f+g)(x)=f(x)+g(x)(f + g)(x) = f(x) + g(x)\newline(f+g)(x)=(−3x2−6x)+(−2x2)(f + g)(x) = (-3x^2 - 6x) + (-2x^2)
  2. Calculate Sum: Combine the like terms to simplify the expression.\newline(f+g)(x)=−3x2−2x2−6x(f + g)(x) = -3x^2 - 2x^2 - 6x\newline(f+g)(x)=−5x2−6x(f + g)(x) = -5x^2 - 6x\newlineThis is the simplified form of the sum of the functions f(x)f(x) and g(x)g(x).

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