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What is (f−g)(x)(f - g)(x)?\newlinef(x)=−5x+6f(x) = -5x + 6\newlineg(x)=2xg(x) = 2x\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)=−5x+6f(x) = -5x + 6\newlineg(x)=2xg(x) = 2x\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)=−5x+6f(x) = -5x + 6\newlineg(x)=2xg(x) = 2x\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)=(−5x+6)−(2x)(f - g)(x) = (-5x + 6) - (2x)
  3. Simplify Expression: Simplify the expression by distributing the negative sign and combining like terms.\newline(f−g)(x)=−5x+6−2x(f - g)(x) = -5x + 6 - 2x\newline(f−g)(x)=−5x−2x+6(f - g)(x) = -5x - 2x + 6\newline(f−g)(x)=−7x+6(f - g)(x) = -7x + 6

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