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What is (f−g)(x)(f - g)(x)?\newlinef(x)=−2x2f(x) = -2x^2\newlineg(x)=−3x+4g(x) = -3x + 4\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)=−2x2f(x) = -2x^2\newlineg(x)=−3x+4g(x) = -3x + 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)=−2x2f(x) = -2x^2\newlineg(x)=−3x+4g(x) = -3x + 4\newlineSubstitute the 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)=(−2x2)−(−3x+4)(f - g)(x) = (-2x^2) - (-3x + 4)
  3. Simplify Expression: Simplify the expression by distributing the negative sign and combining like terms. \newline(f−g)(x)=−2x2+3x−4(f - g)(x) = -2x^2 + 3x - 4
  4. Express Answer: Express your answer as a simplified polynomial.\newlineThe expression is already simplified and there are no like terms to combine.\newline(f−g)(x)=−2x2+3x−4(f - g)(x) = -2x^2 + 3x - 4

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