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What is (f+g)(x)(f + g)(x)?\newlinef(x)=xf(x) = x\newlineg(x)=−x2+xg(x) = -x^2 + x\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)=xf(x) = x\newlineg(x)=−x2+xg(x) = -x^2 + x\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)=xf(x) = x and g(x)=−x2+xg(x) = -x^2 + x. Substitute these values into the formula to get (f+g)(x)=x+(−x2+x)(f + g)(x) = x + (-x^2 + x). Step 33: Simplify the equation (f+g)(x)=x+(−x2+x)(f + g)(x) = x + (-x^2 + x) to find (f+g)(x)(f + g)(x). (f+g)(x)=x−x2+x(f + g)(x) = x - x^2 + x
  3. Simplify Equation: Combine like terms to get the final simplified form of (f+g)(x)(f + g)(x).(f+g)(x)=−x2+2x(f + g)(x) = -x^2 + 2x

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