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What is (f+g)(x)(f + g)(x)?\newlinef(x)=2x2f(x) = 2x^2\newlineg(x)=−3x2−8xg(x) = -3x^2 - 8x\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______

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Add and subtract functionsright chevron icon

Full solution

Q. What is (f+g)(x)(f + g)(x)?\newlinef(x)=2x2f(x) = 2x^2\newlineg(x)=−3x2−8xg(x) = -3x^2 - 8x\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. Calculate Sum: We have:\newlinef(x)=2x2f(x) = 2x^2\newlineg(x)=−3x2−8xg(x) = -3x^2 - 8x\newlineNow, calculate (f+g)(x)(f + g)(x) by adding f(x)f(x) and g(x)g(x) together.\newline(f+g)(x)=2x2+(−3x2−8x)(f + g)(x) = 2x^2 + (-3x^2 - 8x)
  3. Combine Like Terms: Combine like terms to simplify the expression.\newline(f+g)(x)=(2x2−3x2)−8x(f + g)(x) = (2x^2 - 3x^2) - 8x\newline(f+g)(x)=−x2−8x(f + g)(x) = -x^2 - 8x

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