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What is (f+g)(x)(f + g)(x)?\newlinef(x)=x+4f(x) = x + 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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Q. What is (f+g)(x)(f + g)(x)?\newlinef(x)=x+4f(x) = x + 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)=x+4f(x) = x + 4\newlineg(x)=−2x2g(x) = -2x^2\newlineNow we will add these two functions together.\newline(f+g)(x)=(x+4)+(−2x2)(f + g)(x) = (x + 4) + (-2x^2)
  2. Addition of Functions: Combine the like terms and write the answer in the form of a polynomial.\newline(f+g)(x)=−2x2+x+4(f + g)(x) = -2x^2 + x + 4\newlineThere are no like terms to combine further, so this is the simplest form.

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