Question

What is the domain of the function $f\left(x\right)=\frac{1}{\sqrt{|x|-x}}$?

• A. $(-\infty ,0)$
• B. $(0,\infty )$
• C. $0<x<1$
• D. $x>1$

Answer 1

The correct option is A $(-\infty ,0)$

For, the function to be defined

$|x|-x>0$

$\therefore |x|>x$

$⟹x<0$

So, the answer is option (A)