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)

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

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

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

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

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

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

Consider the function f(x)=(cos^(-1)(1-{x}))/(sqrt(2){x}); where {.} denotes the fractional part function,then

Is the function f(x)={x}x>=0{-x}x<0 (where {^(*)} denotes the fractional part of (x) even ?