Let the functions f: R → R and g: R → R be defined as: f(x)={ x+2, x<0; x^2, x ≥ 0 and g(x)= {x^3, x<1; 3 x-2, x ≥ 1}. Then, the number of points in…

Let the functions $\displaystyle f: \mathbf{R} \rightarrow \mathbf{R}$ and $\displaystyle g: \mathbf{R} \rightarrow \mathbf{R}$ be defined as : $$f(x)=\left\{\begin{array}{cc} x+2, & x<0 \\ x^2, & x \geqslant 0 \end{array} \text { and } g(x)=\left\{\begin{array}{cc} x^3, & x<1 \\ 3 x-2, & x \geqslant 1 \end{array}\right.\right. $$ Then, the number of points in $\displaystyle \mathbf{R}$ where (fog) ( $\displaystyle x$ ) is NOT differentiable is equal to :