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What is (f+g)(x)(f + g)(x)?\newlinef(x)=−5x+4f(x) = -5x + 4\newlineg(x)=4xg(x) = 4x\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)=−5x+4f(x) = -5x + 4\newlineg(x)=4xg(x) = 4x\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. Add Functions: We have: \newlinef(x)=−5x+4f(x) = -5x + 4 \newlineg(x)=4xg(x) = 4x \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)=(−5x+4)+(4x)(f + g)(x) = (-5x + 4) + (4x)
  3. Combine Like Terms: Combine the like terms to simplify the expression.\newline(f+g)(x)=−5x+4x+4(f + g)(x) = -5x + 4x + 4\newline(f+g)(x)=−x+4(f + g)(x) = -x + 4

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