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What is (f+g)(x)(f + g)(x)?\newlinef(x)=5x+3f(x) = 5x + 3\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+3f(x) = 5x + 3\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+3f(x) = 5x + 3 \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+3)+4x(f + g)(x) = (5x + 3) + 4x
  3. Combine Like Terms: Combine like terms to simplify the expression.\newline(f+g)(x)=5x+3+4x(f + g)(x) = 5x + 3 + 4x\newline(f+g)(x)=5x+4x+3(f + g)(x) = 5x + 4x + 3\newline(f+g)(x)=9x+3(f + g)(x) = 9x + 3

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