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What is (f−g)(x)(f - g)(x)?\newlinef(x)=x+5f(x) = x + 5\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)=x+5f(x) = x + 5\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. Substitute f(x)f(x) and g(x)g(x): We have:\newlinef(x)=x+5f(x) = x + 5\newlineg(x)=2xg(x) = 2x\newlineSubstitute f(x)f(x) and g(x)g(x) into the formula for (f−g)(x)(f - g)(x).\newline(f−g)(x)=(x+5)−(2x)(f - g)(x) = (x + 5) - (2x)
  3. Simplify expression: Simplify the expression by combining like terms.\newline(f−g)(x)=x+5−2x(f - g)(x) = x + 5 - 2x\newline(f−g)(x)=−x+5(f - g)(x) = -x + 5

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