If f(x) = x^2 - 3x + 1, and f(a) = f(a+1), what is the value of a?

✓ Correct Answer: Option C

Set a² - 3a + 1 = (a+1)² - 3(a+1) + 1. This simplifies to a² - 3a + 1 = a² + 2a + 1 - 3a - 3 + 1. Further simplification yields -3a + 1 = -a - 1. Solving for a, we get 2a = 2, so a = 1.