The real valued function f x = cosec - 1 x x - [ x ] , where x denotes the greatest integer less than or equal to x , is defined for all x belonging to:

Question

The real valued function f x = cosec - 1 x x - [ x ] , where x denotes the greatest integer less than or equal to x , is defined for all x belonging to:, all reals except integers, all non-integers except the interval - 1 , 1, all integers except 0 , - 1 , 1, all reals except the Interval - 1 , 1

MARKS App · Accepted Answer

Given f x = cosec - 1 x { x } Domain of cosec - 1 x ∈ ( - ∞ , - 1 ] ∪ [ 1 , ∞ ) We know, { x } ≠ 0 , so x ≠ integers. So, x belongs to all non-integers except the interval - 1 , 1 .

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