The domain of the function f(x)=cot−1⁡xx2−x2,x∈R is

Domain of cot–1x is R and xx2−x2 is defined if x2 ≠ [x2]   (∵ x2 ≥ [x2])⇒ x ≠ 0 or +ve integer.Hence, domain =R−{n:n≥0,n∈Z}