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JEE Math Practice Question

Let [x] denote the greatest integer less than or equal to x. Then the domain of $ f(x) = \sec^{-1}(2[x] + 1) $ is:

  1. A.$(-\infty, \infty)$
  2. B.$(-\infty, \infty)- \{0\}$
  3. C.$(-\infty, -1] \cup [0, \infty)$
  4. D.$(-\infty, -1] \cup [1, \infty)$

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