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What is (fg)(x)(f - g)(x)?\newlinef(x)=x+1f(x) = -x + 1\newlineg(x)=x2g(x) = -x^2\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______

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Q. What is (fg)(x)(f - g)(x)?\newlinef(x)=x+1f(x) = -x + 1\newlineg(x)=x2g(x) = -x^2\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______
  1. Identify Formula: Identify the formula for (fg)(x)(f - g)(x). The correct formula is (fg)(x)=f(x)g(x)(f - g)(x) = f(x) - g(x).
  2. Substitute Values: We have f(x)=x+1f(x) = -x + 1 and g(x)=x2g(x) = -x^2. Substitute these values into the formula to get (fg)(x)=(x+1)(x2)(f - g)(x) = (-x + 1) - (-x^2).
  3. Simplify Equation: Simplify the equation (fg)(x)=(x+1)(x2)(f - g)(x) = (-x + 1) - (-x^2) to find (fg)(x)(f - g)(x).(fg)(x)=x+1+x2(f - g)(x) = -x + 1 + x^2

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