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What is (f−g)(x)(f - g)(x)?\newlinef(x)=−3x+3f(x) = -3x + 3\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)=−3x+3f(x) = -3x + 3\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).(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. Find Functions: We have: \newlinef(x)=−3x+3f(x) = -3x + 3 \newlineg(x)=3xg(x) = 3x \newlineWhich function represents (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)=(−3x+3)−(3x)(f - g)(x) = (-3x + 3) - (3x)
  3. Calculate Difference: We found: \newline(f−g)(x)=(−3x+3)−3x(f - g)(x) = (-3x + 3) - 3x \newlineExpress your answer as a simplified polynomial or rational function.\newlineCombine the like terms.\newline(f−g)(x)=−3x+3−3x(f - g)(x) = -3x + 3 - 3x \newline(f−g)(x)=−6x+3(f - g)(x) = -6x + 3

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