If [.] denotes the greatest integer function then the domain of the real-valued function…
Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions
If [.] denotes the greatest integer function then the domain of the real-valued function \(\log _{[x+1 / 2]}\left|x^{2}-x-2\right|\) is
- \(\left[\frac{3}{2},+\infty\right)\)
- \(\left[\frac{3}{2}, 2\right) \cup(2,+\infty)\)
- \(\left(\frac{1}{2}, 2\right) \cup(2,+\infty)\)
- None of these
Answer
(B) [ 3 2 , 2 ) (2,+ )
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