Let f and g be two functions defined by $\mathrm{f}\left(\mathrm{x}\right)=\{\begin{array}{cc}\mathrm{x}+1,& \mathrm{x}<0\\ |\mathrm{x}-1|,& \mathrm{x}\ge 0\end{array}$ and $\text{g}\left(\mathrm{x}\right)=\{\begin{array}{cc}\mathrm{x}+1,& \mathrm{x}<0\\ 1,& \mathrm{x}\ge 0\end{array}$ Then $\left(\mathrm{gof}\right)\left(\mathrm{x}\right)$ is 

continuous everywhere

continuous everywhere but not differentiable at x = 1

continuous everywhere but not differentiable exactly at one point

not continuous at $\mathrm{x}=-1$