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What is (f−g)(x)(f - g)(x)?\newlinef(x)=−4xf(x) = -4x\newlineg(x)=−x+4g(x) = -x + 4\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)=−4xf(x) = -4x\newlineg(x)=−x+4g(x) = -x + 4\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. Substitute Functions: We have: \newlinef(x)=−4xf(x) = -4x \newlineg(x)=−x+4g(x) = -x + 4 \newlineSubstitute f(x)f(x) and g(x)g(x) into the formula for (f−g)(x)(f - g)(x).\newline(f−g)(x)=(−4x)−(−x+4)(f - g)(x) = (-4x) - (-x + 4)
  3. Simplify Expression: Simplify the expression by distributing the negative sign and combining like terms.\newline(f−g)(x)=−4x+x−4(f - g)(x) = -4x + x - 4\newline(f−g)(x)=−3x−4(f - g)(x) = -3x - 4

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