The domain of definition of the function

f(x)=sqrt(x2-[x2])

where [.] represents greatest integer function

i got it..

it is very simple

For Sqrt to exist , x²-[x²] > or equal to  0,

For this purpose, x²>[x²] or x²=[x²]

Let x^2 be t where t can take values from 0 - infinity

Then t>[t] or t=[t]

This is possible for all t belonging to positive no. as greatest integer function always return value  equal to or less tha the no.

Hence this function is defined from -infinity to + infinity