Hello Harsh
[x] means greatest integer function
(Eg: [1] = 1, [1.01] = 1, [1.99999]=1, [2] = 2, [2.00001] = 2)
To find domain, we should not let denominator be 0
[x] - x can be zero only when x is an integer.
Example:
If x = 1
[1] - 1 = 1 - 1 = 0
Similarly, if x = -1000
[-1000] - (-1000) = -1000 + 1000 = 0
So, that is also not possible.
Hence, domain of the function is all real numbers except integers.
Written on Aug. 3, 2017, 6:34 p.m.