The real valued function f(x)= cosec ^ -1 x x-[x] where [ x ] denotes the greatest…
Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions
The real valued function \(f(x)=\frac{\operatorname{cosec}^{-1} x}{\sqrt{x-[x]}}\)where [x] denotes the greatest integer less than or equal to x, is defined for all x belonging to
- all integers except 0, –1, 1
- all reals except the interval [–1, 1]
- all reals except integers
- all non-integers except the interval [–1, 1]
Answer
(D) all non-integers except the interval [–1, 1]
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