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What is (f+g)(x)(f + g)(x)?\newlinef(x)=x2f(x) = x^2\newlineg(x)=−3x2−10xg(x) = -3x^2 - 10x\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______

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Add and subtract functionsright chevron icon

Full solution

Q. What is (f+g)(x)(f + g)(x)?\newlinef(x)=x2f(x) = x^2\newlineg(x)=−3x2−10xg(x) = -3x^2 - 10x\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)=−3x2−10xg(x) = -3x^2 - 10x\newlineNow, let's add these 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+(−3x2−10x)(f + g)(x) = x^2 + (-3x^2 - 10x)
  2. Addition of Functions: Combine like terms to simplify the expression.\newline(f+g)(x)=x2−3x2−10x(f + g)(x) = x^2 - 3x^2 - 10x\newline(f+g)(x)=−2x2−10x(f + g)(x) = -2x^2 - 10x

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