The range of the Function `f(x) = {sinx-2/{3}}` is ......(Where {.} denotes fractional Part)?

The range of the function f(x) = frac{1-{x}}{1+{x}} is (where {.} denotes the fractional part of x )

Range of the function f (x) = cos^-1 (-{x}) , where {.} is fractional part function, is:

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

The range of the function y=sqrt(2{x}-{x}^2-3/4) (where, denotes the fractional part) is

Period of the function f(x)=sin(sin(pix))+e^({3x}) , where {.} denotes the fractional part of x is

Period of the function f(x) = cos(cospix) +e^({4x}) , where {.} denotes the fractional part of x, is

f(x)=sqrt((x-1)/(x-2{x})) , where {*} denotes the fractional part.

The period of the function f(x)=cos2pi{2x}+ sin2 pi {2x} , is ( where {x} denotes the functional part of x)

Range of the function f (x) =cot ^(-1){-x}+ sin ^(-1){x} + cos ^(-1) {x}, where {.} denotes fractional part function:

if f(x) ={x^(2)} , where {x} denotes the fractional part of x , then