Two functions $f:\mathbf{R}\to \mathbf{R}\text{ and }g:\mathbf{R}\to \mathbf{R}$ are defined as follows $f\left(x\right)=\left\{\begin{array}{l}0\left(x\text{ rational }\right)\\ 1\left(x\text{ irrational }\right)\end{array},g\left(x\right)=\left\{\begin{array}{l}-1\left(x\text{ rational }\right)\\ 0\left(x\text{ irrational }\right)\end{array}\right.\right.$ then $(f\circ g)\left(\pi \right)+(g\circ f)\left(e\right)=$