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What is (f−g)(x)(f - g)(x)?\newlinef(x)=−5xf(x) = -5x\newlineg(x)=3x+5g(x) = 3x + 5\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)=3x+5g(x) = 3x + 5\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 difference 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: We have: \newlinef(x)=−5xf(x) = -5x \newlineg(x)=3x+5g(x) = 3x + 5 \newlineNow, substitute these functions into the formula for (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)=(−5x)−(3x+5)(f - g)(x) = (-5x) - (3x + 5)
  3. Simplify Expression: Simplify the expression by distributing the negative sign and combining like terms.\newline(f−g)(x)=−5x−3x−5(f - g)(x) = -5x - 3x - 5\newline(f−g)(x)=−8x−5(f - g)(x) = -8x - 5

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