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Let [x] denote the greatest integer less than or equal to x. Then domain of f (x) = sec –1 (2[x]+1) is :

1. (– ∞ , –1] ∪ [0, ∞ )
2. (– ∞ , – ∞ )
3. (– ∞ , –1] ∪ [1, ∞ )
4. (– ∞ , ∞ ] – {0}

Correct answer: (– ∞ , – ∞ )

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