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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
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