Range of the function `f(x) = log_2[3x-[x+[x+[x]]]]` is (where [*] is greatest integer function)

Find range of the function f(x)=log_(2)[3x-[x+[x+[x]]]] (where [.] is greatest integer function)

Find range of the function f(x)=log_(2)[3x-[x+[x+[x]]]] (where [.] is greatest integer function)

The range of the function f(x)=sgn(x-[x])+1 is (where [.] is the greatest integer function)

The range of the function f(x)=2+x-[x-3] is, (where [.] denotes greatest integer function):

The range of the function f(x)=2+x-[x-3] is, (where [.] denotes greatest integer function):

The domain of the function f(x)=([x+3]-x)/([x-5](x-[x])) is (where [ ] is the greatest integer function

Find the domain of the function f(x)=log_(e)(x-[x]) , where [.] denotes the greatest integer function.

Find the domain of the function f(x)=log_(e)(x-[x]) , where [.] denotes the greatest integer function.

Find the domain and range of the following function: f(x)=log_([x-1])sinx, where [ ] denotes greatest integer function.