Let $$f$$ and $$g$$ be two functions defined by $$f(x) = \begin{cases} x + 1, & x < 0 \\ |x - 1|, & x \geq 0 \end{cases}$$ and $$g(x) = \begin{cases} x + 1, & x < 0 \\ 1, & x \geq 0 \end{cases}$$. Then $$(g \circ f)(x)$$ is

A

Continuous everywhere but not differentiable exactly at one point

B

Continuous everywhere but not differentiable at $$x = 1$$

C

Differentiable everywhere

D

Not continuous at $$x = 1$$