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What is (f+g)(x)(f + g)(x)?\newlinef(x)=2x2f(x) = 2x^2\newlineg(x)=−x+6g(x) = -x + 6\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)=2x2f(x) = 2x^2\newlineg(x)=−x+6g(x) = -x + 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). The correct formula is (f+g)(x)=f(x)+g(x)(f + g)(x) = f(x) + g(x).
  2. Substitute Values: We have f(x)=2x2f(x) = 2x^2 and g(x)=−x+6g(x) = -x + 6. Substitute these values into the formula to get (f+g)(x)=2x2+(−x+6)(f + g)(x) = 2x^2 + (-x + 6).
  3. Simplify Equation: Simplify the equation (f+g)(x)=2x2+(−x+6)(f + g)(x) = 2x^2 + (-x + 6) to find (f+g)(x)(f + g)(x).\newline(f+g)(x)=2x2−x+6(f + g)(x) = 2x^2 - x + 6

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