Question

Find the domain of $f\left(x\right)=\frac{1}{\sqrt{x+\left|x\right|}}$

Answer 1

$x+|x|>0$

$(x>0)(x<0)$

$x+x>0x-x>0$

$\Rightarrow x>00>0\left(NotPossible\right)$

$\therefore x\in R^{+}$