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What is (f+g)(x)(f + g)(x)?\newlinef(x)=−2x+2f(x) = -2x + 2\newlineg(x)=xg(x) = x\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)=−2x+2f(x) = -2x + 2\newlineg(x)=xg(x) = x\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)=−2x+2f(x) = -2x + 2 \newlineg(x)=xg(x) = x\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)=(−2x+2)+x(f + g)(x) = (-2x + 2) + x
  3. Find sum: Simplify the expression by combining like terms.\newline(f+g)(x)=−2x+2+x(f + g)(x) = -2x + 2 + x\newline(f+g)(x)=−2x+x+2(f + g)(x) = -2x + x + 2\newline(f+g)(x)=−x+2(f + g)(x) = -x + 2

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