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What is (f+g)(x)(f + g)(x)?\newlinef(x)=3x+5f(x) = 3x + 5\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)=3x+5f(x) = 3x + 5\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. Find Sum: We have: \newlinef(x)=3x+5f(x) = 3x + 5 \newlineg(x)=−4xg(x) = -4x\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)=(3x+5)+(−4x)(f + g)(x) = (3x + 5) + (-4x)
  3. Combine Like Terms: Combine like terms to simplify the expression.\newline(f+g)(x)=3x+5−4x(f + g)(x) = 3x + 5 - 4x\newline(f+g)(x)=(3x−4x)+5(f + g)(x) = (3x - 4x) + 5\newline(f+g)(x)=−1x+5(f + g)(x) = -1x + 5
  4. Simplify Expression: Express your answer as a simplified polynomial. \newline(f+g)(x)=−x+5(f + g)(x) = -x + 5

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