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

Let \(f\) and \(g\) be two functions defined by
\[
f(x)=\left\{\begin{array}{cc}
x+1, & x<0 \\
|x-1|, & x \geq 0
\end{array} \text { and } g(x)=\left\{\begin{array}{cc}
x+1, & x<0 \\
1, & x \geq 0
\end{array}\right. \text {. }\right.
\]

Then \((g \circ f)(x)\) is

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