The real valued function\(f(x)=\frac{cosec^{-1}x}{\sqrt{x-[x]}}\), where [x] denotes the greatest integer less than or equal to x, is defined for all x belonging to :
1
all reals except integers
2
all reals except the interval [-1, 1]
3
all non-integers except the interval [ -1, 1]
4
all integers except 0, - 1, 1