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What is (f+g)(x)(f + g)(x)?\newlinef(x)=−3x+4f(x) = -3x + 4\newlineg(x)=−5xg(x) = -5x\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+4f(x) = -3x + 4\newlineg(x)=−5xg(x) = -5x\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. Given Functions: We have: \newlinef(x)=−3x+4f(x) = -3x + 4 \newlineg(x)=−5xg(x) = -5x\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)=(−3x+4)+(−5x)(f + g)(x) = (-3x + 4) + (-5x)
  3. Combine Like Terms: Combine like terms to simplify the expression.\newline(f+g)(x)=−3x+4−5x(f + g)(x) = -3x + 4 - 5x\newline(f+g)(x)=−3x−5x+4(f + g)(x) = -3x - 5x + 4\newline(f+g)(x)=−8x+4(f + g)(x) = -8x + 4

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