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What is (f−g)(x)(f - g)(x)?\newlinef(x)=−3x2f(x) = -3x^2\newlineg(x)=5x+2g(x) = 5x + 2\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)=−3x2f(x) = -3x^2\newlineg(x)=5x+2g(x) = 5x + 2\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). \newline(f−g)(x)(f - g)(x) is the difference of f(x)f(x) and g(x)g(x). \newline(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)=−3x2f(x) = -3x^2 \newlineg(x)=5x+2g(x) = 5x + 2 \newlineSubstitute f(x)f(x) and g(x)g(x) 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)=−3x2−(5x+2)(f - g)(x) = -3x^2 - (5x + 2)
  3. Distribute negative sign: Distribute the negative sign through the parentheses to simplify the expression. \newline(f−g)(x)=−3x2−5x−2(f - g)(x) = -3x^2 - 5x - 2

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