Let \( f \) and \( g \) be two functions defined by \( f(x)=\left\{\begin{array}{cc}x+1, & x<0 \\ |x-1|, & x …

Let \( f \) and \( g \) be two functions defined by

\( f(x)=\left\{\begin{array}{cc}x+1, & x<0 \\ |x-1|, & x \geq 0\end{array} \quad\right. \) and \( g(x)=\left\{\begin{array}{cc}x+1, & x<0 \\ 1, & x \geq 0\end{array}\right. \)

Then (gof) \( (x) \) is

[JEE Main 2023, 11 Apr (Shift 2)]