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What is (f+g)(x)(f + g)(x)?\newlinef(x)=x2−4f(x) = x^2 - 4\newlineg(x)=−2x2g(x) = -2x^2\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______

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Add and subtract functionsright chevron icon

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Q. What is (f+g)(x)(f + g)(x)?\newlinef(x)=x2−4f(x) = x^2 - 4\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)=x2−4f(x) = x^2 - 4\newlineg(x)=−2x2g(x) = -2x^2\newlineNow, we add the two functions together to find (f+g)(x)(f + g)(x).\newline(f+g)(x)=(x2−4)+(−2x2)(f + g)(x) = (x^2 - 4) + (-2x^2)
  2. Addition of Functions: Combine the like terms to simplify the expression.\newline(f+g)(x)=x2−2x2−4(f + g)(x) = x^2 - 2x^2 - 4\newline(f+g)(x)=−x2−4(f + g)(x) = -x^2 - 4

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