What is domain of f, when f(x) = √x - 1/x² - 2x ?
- (1, 2) ∪ (2, ∞)
- (2, 1) ∪ (2, ∞)
- (1, 2) ∪ (1, ∞)
- 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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