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What is (f+g)(x)(f + g)(x)?\newlinef(x)=5x+6f(x) = 5x + 6\newlineg(x)=3xg(x) = 3x\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+6f(x) = 5x + 6\newlineg(x)=3xg(x) = 3x\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+6f(x) = 5x + 6 \newlineg(x)=3xg(x) = 3x\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+6)+3x(f + g)(x) = (5x + 6) + 3x
  3. Simplify Expression: Simplify the expression by combining like terms.\newline(f+g)(x)=5x+6+3x(f + g)(x) = 5x + 6 + 3x\newline(f+g)(x)=(5x+3x)+6(f + g)(x) = (5x + 3x) + 6\newline(f+g)(x)=8x+6(f + g)(x) = 8x + 6

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