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What is (f+g)(x)(f + g)(x)?\newlinef(x)=−x+2f(x) = -x + 2\newlineg(x)=−3x2g(x) = -3x^2\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)=−x+2f(x) = -x + 2\newlineg(x)=−3x2g(x) = -3x^2\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)=−x+2f(x) = -x + 2 and g(x)=−3x2g(x) = -3x^2. Substitute these values into the formula to get (f+g)(x)=(−x+2)+(−3x2)(f + g)(x) = (-x + 2) + (-3x^2).
  3. Simplify equation: Simplify the equation (f+g)(x)=(−x+2)+(−3x2)(f + g)(x) = (-x + 2) + (-3x^2) to find (f+g)(x)(f + g)(x).(f+g)(x)=−3x2−x+2(f + g)(x) = -3x^2 - x + 2

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