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What is (f−g)(x)(f - g)(x)?\newlinef(x)=−3x2−xf(x) = -3x^2 - x\newlineg(x)=xg(x) = x\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)=−3x2−xf(x) = -3x^2 - x\newlineg(x)=xg(x) = x\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)=−3x2−xf(x) = -3x^2 - x \newlineg(x)=xg(x) = x \newlineSubstitute the functions into the formula for (f−g)(x)(f - g)(x).\newline(f−g)(x)=(−3x2−x)−(x)(f - g)(x) = (-3x^2 - x) - (x)
  3. Simplify Expression: Simplify the expression by combining like terms.\newline(f−g)(x)=−3x2−x−x(f - g)(x) = -3x^2 - x - x\newline(f−g)(x)=−3x2−2x(f - g)(x) = -3x^2 - 2x

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