Let `f(x) = log_ex + log_xe`, then the Domain of the function `1/sqrt(|f(x)|-f(x))` is
`(a) (0, 1) `
`(b) (1, oo) `
`(c) (1, e) `
`(d) (−oo, oo)`

Explanation

(a) `|f(x)| gt f(x) implies f(x) lt 0`
`implies log_e x + log_x e lt 0`
`implies ((log_e x)^2+1)/(log_e x) lt 0`
`implies log_e x lt 0`
`implies 0 lt x lt 1`.