A is the domain of  $f\left(x\right)=\frac{1}{\sqrt{\left|x\right|-x}}$ and B is the domain of  $g\left(x\right)=\sqrt{1-\left|x\right|}$  then  $A\cap B=$

$f\left(x\right)=\frac{1}{\sqrt{\left|x\right|-x}},g\left(x\right)=\sqrt{1-\left|x\right|}$

Is defined

$\left|x\right|-x>0 1-\left|x\right|\ge 0$

$\left|x\right|<x\&x\in R^{-}\left|x\right|\le 1$

$A=R^{-}B=\{x:x\in [-1,1]\}$

$A\cap B=\{x:-1\le x<0\}$