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What is (f+g)(x)(f + g)(x)?\newlinef(x)=3x2−xf(x) = 3x^2 - x\newlineg(x)=−3xg(x) = -3x\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)=3x2−xf(x) = 3x^2 - x\newlineg(x)=−3xg(x) = -3x\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)=3x2−xf(x) = 3x^2 - x and g(x)=−3xg(x) = -3x. Substitute these values into the formula to get (f+g)(x)=(3x2−x)+(−3x)(f + g)(x) = (3x^2 - x) + (-3x).
  3. Simplify Equation: Simplify the equation (f+g)(x)=(3x2−x)+(−3x)(f + g)(x) = (3x^2 - x) + (-3x) to find (f+g)(x)(f + g)(x).
    (f+g)(x)=3x2−x−3x(f + g)(x) = 3x^2 - x - 3x
    Combine like terms to get the final simplified form.
    (f+g)(x)=3x2−4x(f + g)(x) = 3x^2 - 4x

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