Question

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

Answer 1

f(x) = $\frac{1}{\sqrt{\left|x\right|-x}}$
f(x) is defined if |x| − x > 0
i.e |x| > x
i.e x < |x|
which is possible for negative real numbers
∴ Domain for f(x) is |R​⁻ ~ {0}