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What is (f−g)(x)(f - g)(x)?\newlinef(x)=−3xf(x) = -3x\newlineg(x)=5x+6g(x) = 5x + 6\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)=−3xf(x) = -3x\newlineg(x)=5x+6g(x) = 5x + 6\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 between 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)=−3xf(x) = -3x \newlineg(x)=5x+6g(x) = 5x + 6 \newlineNow, let's find (f−g)(x)(f - g)(x) by substituting the given functions.\newline(f−g)(x)=f(x)−g(x)(f - g)(x) = f(x) - g(x)\newline(f−g)(x)=(−3x)−(5x+6)(f - g)(x) = (-3x) - (5x + 6)
  3. Substitute and Calculate: Simplify the expression by distributing the negative sign and combining like terms.\newline(f−g)(x)=−3x−5x−6(f - g)(x) = -3x - 5x - 6\newline(f−g)(x)=−8x−6(f - g)(x) = -8x - 6

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