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What is (f+g)(x)(f + g)(x)?\newlinef(x)=4x+1f(x) = 4x + 1\newlineg(x)=2x2g(x) = -2x^2\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______

Full solution

Q. What is (f+g)(x)(f + g)(x)?\newlinef(x)=4x+1f(x) = 4x + 1\newlineg(x)=2x2g(x) = -2x^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)=4x+1f(x) = 4x + 1 and g(x)=2x2g(x) = -2x^2. Substitute these values into the formula to get (f+g)(x)=(4x+1)+(2x2)(f + g)(x) = (4x + 1) + (-2x^2).
  3. Simplify Equation: Simplify the equation (f+g)(x)=(4x+1)+(2x2)(f + g)(x) = (4x + 1) + (-2x^2) to find (f+g)(x)(f + g)(x).(f+g)(x)=2x2+4x+1(f + g)(x) = -2x^2 + 4x + 1This is the simplified form of the polynomial.

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