Let $ g(x)= \begin{cases} -x & \ x \leq 1 \\ x+1 & \ x \geq 1 \end{cases}$ and $ f(x)= \begin{cases} 1-x & \ x \leq 0 \\ x^{2} & \ x > 0 \end{cases}$.
Consider the composition of $f$ and $g$, i.e., $(f {\circ} g) (x) = f (g(x))$. The number of discontinuities in $(f {\circ} g) (x)$ present in the interval $(-\infty, 0)$ is:
- $0$
- $1$
- $2$
- $4$