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What is (f+g)(x)(f + g)(x)?\newlinef(x)=3x2−7xf(x) = 3x^2 - 7x\newlineg(x)=2x2g(x) = 2x^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)=3x2−7xf(x) = 3x^2 - 7x\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).(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)=3x2−7xf(x) = 3x^2 - 7x \newlineg(x)=2x2g(x) = 2x^2\newlineNow, we need to add these two functions to find (f+g)(x)(f + g)(x).\newline(f+g)(x)=(3x2−7x)+(2x2)(f + g)(x) = (3x^2 - 7x) + (2x^2)
  3. Combine like terms: Combine like terms to simplify the expression.\newline(f+g)(x)=3x2+2x2−7x(f + g)(x) = 3x^2 + 2x^2 - 7x\newline(f+g)(x)=5x2−7x(f + g)(x) = 5x^2 - 7x

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