# The domain of the function

Question:

The domain of the function $f(x)=\frac{1}{\sqrt{|x|-x}}$ is :-

1. $(-\infty, 0)$

2. $(-\infty, \infty)-\{0\}$

3. $(-\infty, \infty)$

4. $(0, \infty)$

Correct Option: 1

Solution:

$f(x)=\frac{1}{\sqrt{|x|-x}}$