Question 837262
*[tex \large \sqrt{x^2 - x}] is defined (on real numbers) iff *[tex \large x^2 - x \ge 0]. Since the zeros of *[tex \large x^2 - x] are at 0 and 1, and since *[tex \large y = x^2 - x] points upward, the domain is *[tex \large \{ x \in \mathbb{R},  x \le -1] or *[tex \large x \ge 0 \}].