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What is (f+g)(x)(f + g)(x)?\newlinef(x)=−2x2f(x) = -2x^2\newlineg(x)=x2−4g(x) = x^2 - 4\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)=−2x2f(x) = -2x^2\newlineg(x)=x2−4g(x) = x^2 - 4\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______
  1. Given Functions: We have:\newlinef(x)=−2x2f(x) = -2x^2\newlineg(x)=x2−4g(x) = x^2 - 4\newlineNow we will add these two functions together.\newline(f+g)(x)=(−2x2)+(x2−4)(f + g)(x) = (-2x^2) + (x^2 - 4)
  2. Addition of Functions: Combine the like terms to simplify the expression.\newline(f+g)(x)=−2x2+x2−4(f + g)(x) = -2x^2 + x^2 - 4\newline(f+g)(x)=(−2x2+x2)−4(f + g)(x) = (-2x^2 + x^2) - 4\newline(f+g)(x)=−x2−4(f + g)(x) = -x^2 - 4

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