question_answer

Let \[g(x)=1+x-[x]\] and \[f(x)=\left\{ \begin{matrix}    -1 & x<0  \\    0 & x=0,  \\    1 & x>0  \\ \end{matrix} \right.\]  then for all x,  f[g(x)] is equal to:

A)  x                                

B)  1

C)  f(x)                             

D)  g(x)

E)  None of these