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What is (f+g)(x)(f + g)(x)?\newlinef(x)=2xf(x) = 2x\newlineg(x)=−x+4g(x) = -x + 4\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)=2xf(x) = 2x\newlineg(x)=−x+4g(x) = -x + 4\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. Find Sum: We have:\newlinef(x)=2xf(x) = 2x\newlineg(x)=−x+4g(x) = -x + 4\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)=(2x)+(−x+4)(f + g)(x) = (2x) + (-x + 4)
  3. Combine Like Terms: Combine like terms to simplify the expression.\newline(f+g)(x)=2x−x+4(f + g)(x) = 2x - x + 4\newline(f+g)(x)=x+4(f + g)(x) = x + 4

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