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What is (f+g)(x)(f + g)(x)?\newlinef(x)=4xf(x) = 4x\newlineg(x)=−x2+6xg(x) = -x^2 + 6x\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)=4xf(x) = 4x\newlineg(x)=−x2+6xg(x) = -x^2 + 6x\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)=4xf(x) = 4x and g(x)=−x2+6xg(x) = -x^2 + 6x. Substitute these values into the formula to get (f+g)(x)=4x+(−x2+6x)(f + g)(x) = 4x + (-x^2 + 6x).
  3. Simplify equation: Simplify the equation (f+g)(x)=4x+(−x2+6x)(f + g)(x) = 4x + (-x^2 + 6x) to find (f+g)(x)(f + g)(x).(f+g)(x)=−x2+4x+6x(f + g)(x) = -x^2 + 4x + 6x(f+g)(x)=−x2+10x(f + g)(x) = -x^2 + 10x

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