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What is (f+g)(x)(f + g)(x)?\newlinef(x)=−3x2−2xf(x) = -3x^2 - 2x\newlineg(x)=x2g(x) = x^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)=−3x2−2xf(x) = -3x^2 - 2x\newlineg(x)=x2g(x) = x^2\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______
  1. Identify formula for (f+g)(x)(f + g)(x): Identify the formula for (f+g)(x)(f + g)(x).(f+g)(x)(f + g)(x) is the sum of f(x)f(x) and g(x)g(x).(f+g)(x)=f(x)+g(x)(f + g)(x) = f(x) + g(x)
  2. Add f(x)f(x) and g(x)g(x): We have:\newlinef(x)=−3x2−2xf(x) = -3x^2 - 2x\newlineg(x)=x2g(x) = x^2\newlineNow, we need to 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)=(−3x2−2x)+(x2)(f + g)(x) = (-3x^2 - 2x) + (x^2)
  3. Combine like terms: Combine like terms.\newline(f+g)(x)=−3x2−2x+x2(f + g)(x) = -3x^2 - 2x + x^2\newline(f+g)(x)=−3x2+x2−2x(f + g)(x) = -3x^2 + x^2 - 2x\newline(f+g)(x)=(−3+1)x2−2x(f + g)(x) = (-3 + 1)x^2 - 2x\newline(f+g)(x)=−2x2−2x(f + g)(x) = -2x^2 - 2x

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