Limits Continuity And Differentiability

Let f, g : R \(\to\) R be functions defined by

\(f(x) = \left\{ {\matrix{ {[x]} & , & {x < 0} \cr {|1 - x|} & , & {x \ge 0} \cr } } \right.\) and \(g(x) = \left\{ {\matrix{ {{e^x} - x} & , & {x < 0} \cr {{{(x - 1)}^2} - 1} & , & {x \ge 0} \cr } } \right.\) where [x] denote the greatest integer less than or equal to x. Then, the function fog is discontinuous at exactly :