The domain of the function f(x) = [1 | x | - x ] is

Question

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

Accepted Answer

$$f\left( x \right) = {1 \over {\sqrt {\left| x \right| - x} }},\,\,$$ define if $$\,\,\,\left| x \right| - x > 0$$

$$ \Rightarrow \left| x \right| > x,\,\,\, \Rightarrow x < 0$$

Hence domain of $$f\left( x \right)$$ is $$\left( { - \infty ,0} \right)$$

Solutions · 1