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What is (f+g)(x)(f + g)(x)?\newlinef(x)=−3xf(x) = -3x\newlineg(x)=−5x+3g(x) = -5x + 3\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)=−3xf(x) = -3x\newlineg(x)=−5x+3g(x) = -5x + 3\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)=−3xf(x) = -3x\newlineg(x)=−5x+3g(x) = -5x + 3\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)=(−3x)+(−5x+3)(f + g)(x) = (-3x) + (-5x + 3)
  3. Combine Like Terms: Combine like terms to simplify the expression.\newline(f+g)(x)=−3x−5x+3(f + g)(x) = -3x - 5x + 3\newline(f+g)(x)=−8x+3(f + g)(x) = -8x + 3\newlineThis is the simplified form of the sum of the two functions.

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