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What is (f+g)(x)(f + g)(x)?\newlinef(x)=−3x+3f(x) = -3x + 3\newlineg(x)=−2xg(x) = -2x\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)=−3x+3f(x) = -3x + 3\newlineg(x)=−2xg(x) = -2x\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______
  1. Identify Formula: 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. Given Functions: We have: \newlinef(x)=−3x+3f(x) = -3x + 3 \newlineg(x)=−2xg(x) = -2x\newlineNow, we need to find (f+g)(x)(f + g)(x) by adding f(x)f(x) and g(x)g(x) together.\newline(f+g)(x)=f(x)+g(x)(f + g)(x) = f(x) + g(x) \newline(f+g)(x)=(−3x+3)+(−2x)(f + g)(x) = (-3x + 3) + (-2x)
  3. Combine and Simplify: Combine like terms to simplify the expression.\newline(f+g)(x)=−3x+3−2x(f + g)(x) = -3x + 3 - 2x\newline(f+g)(x)=−3x−2x+3(f + g)(x) = -3x - 2x + 3\newline(f+g)(x)=−5x+3(f + g)(x) = -5x + 3

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