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What is (f−g)(x)(f - g)(x)?\newlinef(x)=2x2+5xf(x) = 2x^2 + 5x\newlineg(x)=2xg(x) = 2x\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)=2x2+5xf(x) = 2x^2 + 5x\newlineg(x)=2xg(x) = 2x\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. Subtract Functions: We have:\newlinef(x)=2x2+5xf(x) = 2x^2 + 5x\newlineg(x)=2xg(x) = 2x\newlineNow, we need to subtract g(x)g(x) from f(x)f(x) to find (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)=(2x2+5x)−(2x)(f - g)(x) = (2x^2 + 5x) - (2x)
  3. Perform Subtraction: Perform the subtraction by distributing the negative sign to the terms in g(x)g(x).(f−g)(x)=2x2+5x−2x(f - g)(x) = 2x^2 + 5x - 2x
  4. Combine Like Terms: Combine like terms.\newline(f−g)(x)=2x2+(5x−2x)(f - g)(x) = 2x^2 + (5x - 2x)\newline(f−g)(x)=2x2+3x(f - g)(x) = 2x^2 + 3x

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