The domain of the function f(x)= 1 [x]^ 2 -[x]-6 where [ ] denotes greatest integer…

Mathematics · JEE Main · NTA ExamsSets, Relations and Functions

The domain of the function
\[f(x)=\frac{1}{\sqrt{[x]^{2}-[x]-6}}\] 
where [ ] denotes greatest integer function
  1. R – [–2, 4)
  2. R – {–3, 2}
  3. R
  4. R – {2, 3}

Answer

(A) R – [–2, 4)

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