Let \(f\) and \(g\) be two functions defined by \(f(x)=\left\{\begin{array}{cc}x+1, & x Then \((g \circ f)(x)\) is [JEE …

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)]