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What is (f−g)(x)(f - g)(x)?\newlinef(x)=−2x2−7xf(x) = -2x^2 - 7x\newlineg(x)=−x2g(x) = -x^2\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______

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Add and subtract functionsright chevron icon

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Q. What is (f−g)(x)(f - g)(x)?\newlinef(x)=−2x2−7xf(x) = -2x^2 - 7x\newlineg(x)=−x2g(x) = -x^2\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______
  1. Given Functions: We have:\newlinef(x)=−2x2−7xf(x) = -2x^2 - 7x\newlineg(x)=−x2g(x) = -x^2\newlineNow we will perform the subtraction:\newline(f−g)(x)=(−2x2−7x)−(−x2)(f - g)(x) = (-2x^2 - 7x) - (-x^2)
  2. Subtraction: Next, we distribute the negative sign through the parentheses for g(x)g(x):(f−g)(x)=−2x2−7x+x2(f - g)(x) = -2x^2 - 7x + x^2
  3. Distribution: Now we combine like terms:\newline(f−g)(x)=−2x2+x2−7x(f - g)(x) = -2x^2 + x^2 - 7x\newline(f−g)(x)=(−2+1)x2−7x(f - g)(x) = (-2 + 1)x^2 - 7x\newline(f−g)(x)=−x2−7x(f - g)(x) = -x^2 - 7x

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