Find the domain of `f(x)=1/(sqrt(|[|x|-1]|-5))`

Answer

`(-oo,-7] cup [7,oo)`

Explanation

`f(x)=(1)/(sqrt(|[|x|-1]|-5))` is defined. Therefore,
`|[|x|-1]|-5 gt 0`
or `|[|x|-1]| gt 5`
i.e., `[|x|-1] lt -5 " or " [|x|-1] gt 5`
i.e., `|x|-1 lt -5 " or " |x|-1 ge 6`
or `|x| ge 7`
or `x in (-oo,-7] cup [7,oo)`