1.
Let the functions f:R→Rf: \mathbb{R} \to \mathbb{R} and g:R→Rg: \mathbb{R} \to \mathbb{R} be defined as:
f(x)={x+2,x<0x2,x≥0andg(x)={x3,x<13x−2,x≥1f(x) = \begin{cases} x+2, & x < 0 \\ x^2, & x \geq 0 \end{cases} \quad \text{and} \quad g(x) = \begin{cases} x^3, & x < 1 \\ 3x-2, & x \geq 1 \end{cases}
Then, the number of points in R\mathbb{R} where (f∘g)(x)(f \circ g)(x) is NOT differentiable is equal to: