question_answer

If \[\operatorname{f}:R\to R\] and \[g:R\to R\] are defined by \[f(x)=\left| x \right|\] and \[g(x)=\left[ x-3 \right]\] for \[x\in R\] then \[\left\{ g(f(x)):-\frac{8}{5}<x<\frac{8}{5} \right\}\] is equal to

A) {0, 1}             

B)   {1, 2}

C)   {-3, -2}                       

D)   {2, 3}