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What is (f+g)(x)(f + g)(x)?\newlinef(x)=−5xf(x) = -5x\newlineg(x)=3x+4g(x) = 3x + 4\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)=−5xf(x) = -5x\newlineg(x)=3x+4g(x) = 3x + 4\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)=3x+4g(x) = 3x + 4\newlineNow, substitute these into the formula for (f+g)(x)(f + g)(x).\newline(f+g)(x)=(−5x)+(3x+4)(f + g)(x) = (-5x) + (3x + 4)
  3. Combine and Simplify: Combine like terms to simplify the expression.\newline(f+g)(x)=−5x+3x+4(f + g)(x) = -5x + 3x + 4\newlineNow, combine the x terms.\newline(f+g)(x)=(−5x+3x)+4(f + g)(x) = (-5x + 3x) + 4\newline(f+g)(x)=−2x+4(f + g)(x) = -2x + 4

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