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What is (f+g)(x)(f + g)(x)?\newlinef(x)=3x2xf(x) = 3x^2 - x\newlineg(x)=5xg(x) = -5x\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______

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Q. What is (f+g)(x)(f + g)(x)?\newlinef(x)=3x2xf(x) = 3x^2 - x\newlineg(x)=5xg(x) = -5x\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)=3x2xf(x) = 3x^2 - x and g(x)=5xg(x) = -5x. Substitute these values into the formula to get (f+g)(x)=(3x2x)+(5x)(f + g)(x) = (3x^2 - x) + (-5x). Step 33: Simplify the equation (f+g)(x)=(3x2x)+(5x)(f + g)(x) = (3x^2 - x) + (-5x) to find (f+g)(x)(f + g)(x). (f+g)(x)=3x2x5x(f + g)(x) = 3x^2 - x - 5x (f+g)(x)=3x26x(f + g)(x) = 3x^2 - 6x

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