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What is (f+g)(x)(f + g)(x)?\newlinef(x)=3xf(x) = 3x\newlineg(x)=−2x2−9xg(x) = -2x^2 - 9x\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)=3xf(x) = 3x\newlineg(x)=−2x2−9xg(x) = -2x^2 - 9x\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)=3xf(x) = 3x and g(x)=−2x2−9xg(x) = -2x^2 - 9x. Substitute these values into the formula to get (f+g)(x)=3x+(−2x2−9x)(f + g)(x) = 3x + (-2x^2 - 9x).
  3. Simplify Equation: Simplify the equation (f+g)(x)=3x+(−2x2−9x)(f + g)(x) = 3x + (-2x^2 - 9x) to find (f+g)(x)(f + g)(x).(f+g)(x)=−2x2+3x−9x(f + g)(x) = -2x^2 + 3x - 9x(f+g)(x)=−2x2−6x(f + g)(x) = -2x^2 - 6x

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