Let the functions \(f: R \rightarrow R\) and \(g: R \rightarrow R\) be defined as: \(f(x)=\left\{\begin{array}{ll}x+2 &a…

Let the functions \(f: R \rightarrow R\) and \(g: R \rightarrow R\) be defined as:
\(f(x)=\left\{\begin{array}{ll}x+2 & x<0 \\ x^2, & x \geq 0\end{array}\right.\) and \(g(x)= \begin{cases}x^3 & x<1 \\ 3 x-2, & x \geq 1\end{cases}\)

Then, the number of points in \(R\) where \((fog)(x)\) is NOT differentiable is equal to :

[JEE Main 2021, 16 Mar (Shift 1)]