If f(x) = x^2 - 3x + 2 and g(x) = x + 1, what is f(g(x))?
✓ Correct Answer: Option A
f(g(x)) means substitute g(x) into f(x). So, f(x+1) = (x+1)^2 - 3(x+1) + 2. This expands to (x^2 + 2x + 1) - (3x + 3) + 2 = x^2 + 2x + 1 - 3x - 3 + 2 = x^2 - x.
f(g(x)) means substitute g(x) into f(x). So, f(x+1) = (x+1)^2 - 3(x+1) + 2. This expands to (x^2 + 2x + 1) - (3x + 3) + 2 = x^2 + 2x + 1 - 3x - 3 + 2 = x^2 - x.