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What is (f+g)(x)(f + g)(x)?\newlinef(x)=−5xf(x) = -5x\newlineg(x)=2x+3g(x) = 2x + 3\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______

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Add and subtract functionsright chevron icon

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Q. What is (f+g)(x)(f + g)(x)?\newlinef(x)=−5xf(x) = -5x\newlineg(x)=2x+3g(x) = 2x + 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. Substitute Functions: Substitute the given functions into the formula.\newlineWe have: \newlinef(x)=−5xf(x) = -5x \newlineg(x)=2x+3g(x) = 2x + 3\newlineNow, substitute these into the formula for (f+g)(x)(f + g)(x).\newline(f+g)(x)=(−5x)+(2x+3)(f + g)(x) = (-5x) + (2x + 3)
  3. Combine and Simplify: Combine like terms to simplify the expression.\newline(f+g)(x)=−5x+2x+3(f + g)(x) = -5x + 2x + 3\newlineNow, combine the x terms.\newline(f+g)(x)=(−5x+2x)+3(f + g)(x) = (-5x + 2x) + 3\newline(f+g)(x)=−3x+3(f + g)(x) = -3x + 3

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