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What is domain of f, when f(x) = √x - 1/x² - 2x ?
  1. (1, 2) ∪ (2, ∞)
  2. (2, 1) ∪ (2, ∞)
  3. (1, 2) ∪ (1, ∞)
  4. None of these
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, ∞).

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