Let [ x ] denote the greatest integer less than or equal to x . Then the domain of f ( x…

Mathematics · JEE Main · NTA ExamsSets, Relations and Functions

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

Answer

(D) (– ∞ , –1] ∪ [1, ∞ )

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