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What is (f+g)(x)(f + g)(x)?\newlinef(x)=2x2f(x) = 2x^2\newlineg(x)=2x2−2g(x) = 2x^2 - 2\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)=2x2f(x) = 2x^2\newlineg(x)=2x2−2g(x) = 2x^2 - 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).(f+g)(x)(f + g)(x) is the sum of f(x)f(x) and g(x)g(x).(f+g)(x)=f(x)+g(x)(f + g)(x) = f(x) + g(x)
  2. Add Functions: We have: \newlinef(x)=2x2f(x) = 2x^2 \newlineg(x)=2x2−2g(x) = 2x^2 - 2 \newlineNow, we need to add these two functions to find (f+g)(x)(f + g)(x).\newline(f+g)(x)=f(x)+g(x)(f + g)(x) = f(x) + g(x)\newline(f+g)(x)=2x2+(2x2−2)(f + g)(x) = 2x^2 + (2x^2 - 2)
  3. Combine Like Terms: Combine like terms to simplify the expression.\newline(f+g)(x)=2x2+2x2−2(f + g)(x) = 2x^2 + 2x^2 - 2\newline(f+g)(x)=(2x2+2x2)−2(f + g)(x) = (2x^2 + 2x^2) - 2\newline(f+g)(x)=4x2−2(f + g)(x) = 4x^2 - 2

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