Let the functions f : R → R and g : R → R be defined as:
\(\rm f(x)=\left\{ {\begin{array}{*{20}{c}} {x + 2,}&{x < 0}\\ {{x^2},}&{x \ge 0} \end{array}} \right.\) and \(\rm g(x)=\left\{ {\begin{array}{*{20}{c}} {{x^3},}&{x < 1}\\ {3x-2,}&{x \ge 1} \end{array}} \right.\)
Then, the number of points in R where (fog) (x) in NOT differentiable is equal to:
1
0
2
1
3
2
4
3