Let `f(x)=sqrt(|x|-{x})`, where `{.}` denotes the fractional part of x an X,Y and its domain and range respectively, then
A. ` x in (-oo,(1)/(2)]" and " Y in [(1)/(2), oo)`
B. ` x in (-oo, -(1)/(2)]cup [0,oo) " and " Y in [(1)/(2), oo)`
C. ` X in (-oo, -(1)/(2)]cup [0,oo) " and " Y in [0, oo)`
D. None of these