Explanation

Given the conditions:

1. √x requires x ≥ 1 (from x - 1 ≥ 0)

2. Denominator x² - 2x ≠ 0 implies x ≠ 0 and x ≠ 2

The domain is indeed x ≥ 1, excluding x = 2.

So, the domain is (1, 2) ∪ (2, ∞).