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What is (f−g)(x)(f - g)(x)?\newlinef(x)=−2xf(x) = -2x\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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Q. What is (f−g)(x)(f - g)(x)?\newlinef(x)=−2xf(x) = -2x\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).(f−g)(x)(f - g)(x) is the difference between f(x)f(x) and g(x)g(x).(f−g)(x)=f(x)−g(x)(f - g)(x) = f(x) - g(x)
  2. Substitute functions: We have:\newlinef(x)=−2xf(x) = -2x\newlineg(x)=−2x+6g(x) = -2x + 6\newlineSubstitute these functions 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)=(−2x)−(−2x+6)(f - g)(x) = (-2x) - (-2x + 6)
  3. Simplify expression: Simplify the expression by distributing the negative sign and combining like terms.\newline(f−g)(x)=−2x+2x−6(f - g)(x) = -2x + 2x - 6\newlineCombine the like terms −2x-2x and +2x+2x.\newline(f−g)(x)=−6(f - g)(x) = -6

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