If denotes Greatest Integer Function, Then

Then its domain is given by

Domain of definition of the function

The domain of definition of the function y (x) given by the equation 

Range of 

The period of   is

If f (x) and g(x) be periodic and non-periodic function respectively, then f(g(x)) is

Let f (x) and g(x) be bijective function where f :{a, b, c, d}{1, 2, 3, 4}and g:{3, 4, 5, 6}{w, x, y, z) respectively. The number of elements in the range set of g(f (x)) is

The polynomial p(x) is such that for any polynomial q(x) we have p(q(x) = q(p(x). Then p(x) is

Infinite set, then period of the function cannot be