The range of the function `f(x)={(sin x-2)/(3)}` is (where{.} denotes fractional part)?

Range of the function f(x)=({x})/(1+{x}) is (where "{*}" denotes fractional part function)

The domain of function f(x)=ln(ln((x)/({x}))) is (where { ) denotes the fractional part function)

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

The domain of function f(x)=ln(ln((x)/({x}))) is (where f ) denotes the fractional part function

The domain of function f(x)=ln(ln((x)/({x}))) is (where f ) denotes the fractional part function

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

The domain of the function f(x)=(1)/(sqrt({x}))-ln(x-2{x}) is (where {.} denotes the fractional part function)

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

The number of integers in the range of the function f(x)=(x-[x])/(1+{x}) x(where [.] and {.} denote the integral part and fractional part functions respectively is

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