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What is (f−g)(x)(f - g)(x)?\newlinef(x)=2x2f(x) = 2x^2\newlineg(x)=2x+6g(x) = 2x + 6\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______

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Full solution

Q. What is (f−g)(x)(f - g)(x)?\newlinef(x)=2x2f(x) = 2x^2\newlineg(x)=2x+6g(x) = 2x + 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). The correct formula is (f−g)(x)=f(x)−g(x)(f - g)(x) = f(x) - g(x).
  2. Substitute Values: We have f(x)=2x2f(x) = 2x^2 and g(x)=2x+6g(x) = 2x + 6. Substitute these values into the formula to get (f−g)(x)=2x2−(2x+6)(f - g)(x) = 2x^2 - (2x + 6).
  3. Simplify Equation: Simplify the equation (f−g)(x)=2x2−(2x+6)(f - g)(x) = 2x^2 - (2x + 6) to find (f−g)(x)(f - g)(x).\newline(f−g)(x)=2x2−2x−6(f - g)(x) = 2x^2 - 2x - 6

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