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What is (f+g)(x)(f + g)(x)?\newlinef(x)=−x2f(x) = -x^2\newlineg(x)=−3x2+3g(x) = -3x^2 + 3\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)=−x2f(x) = -x^2\newlineg(x)=−3x2+3g(x) = -3x^2 + 3\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______
  1. Given Functions: We have:\newlinef(x)=−x2f(x) = -x^2\newlineg(x)=−3x2+3g(x) = -3x^2 + 3\newlineNow, let's add these two functions to find (f+g)(x)(f + g)(x).\newline(f+g)(x)=f(x)+g(x)(f + g)(x) = f(x) + g(x)\newline(f+g)(x)=(−x2)+(−3x2+3)(f + g)(x) = (-x^2) + (-3x^2 + 3)
  2. Addition of Functions: Combine like terms to simplify the expression.\newline(f+g)(x)=−x2−3x2+3(f + g)(x) = -x^2 - 3x^2 + 3\newline(f+g)(x)=−4x2+3(f + g)(x) = -4x^2 + 3\newlineThis is the simplified form of the polynomial.

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