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What is (f−g)(x)(f - g)(x)?\newlinef(x)=x2−4xf(x) = x^2 - 4x\newlineg(x)=3xg(x) = 3x\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)=x2−4xf(x) = x^2 - 4x\newlineg(x)=3xg(x) = 3x\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)=x2−4xf(x) = x^2 - 4x and g(x)=3xg(x) = 3x. Substitute these values into the formula to get (f−g)(x)=(x2−4x)−3x(f - g)(x) = (x^2 - 4x) - 3x.
  3. Simplify Equation: Simplify the equation (f−g)(x)=(x2−4x)−3x(f - g)(x) = (x^2 - 4x) - 3x to find (f−g)(x)(f - g)(x).
    (f−g)(x)=x2−4x−3x(f - g)(x) = x^2 - 4x - 3x
    (f−g)(x)=x2−7x(f - g)(x) = x^2 - 7x

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