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What is (f+g)(x)(f + g)(x)?\newlinef(x)=3x2f(x) = 3x^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)=3x2f(x) = 3x^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. Find sum: We have:\newlinef(x)=3x2f(x) = 3x^2\newlineg(x)=−2x2+2g(x) = -2x^2 + 2\newlineNow, let's find (f+g)(x)(f + g)(x) by adding f(x)f(x) and g(x)g(x) together.\newline(f+g)(x)=f(x)+g(x)(f + g)(x) = f(x) + g(x)\newline(f+g)(x)=3x2+(−2x2+2)(f + g)(x) = 3x^2 + (-2x^2 + 2)
  3. Combine like terms: Simplify the expression by combining like terms.\newline(f+g)(x)=3x2−2x2+2(f + g)(x) = 3x^2 - 2x^2 + 2\newline(f+g)(x)=(3−2)x2+2(f + g)(x) = (3 - 2)x^2 + 2\newline(f+g)(x)=1x2+2(f + g)(x) = 1x^2 + 2\newline(f+g)(x)=x2+2(f + g)(x) = x^2 + 2

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