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Find the domain of f(x) = log (e^(x) - x...

Find the domain of `f(x) = log (e^(x) - x) + (1)/(sqrt(5[x] - [x]^(2) - 6))`

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`f(x) = log (e^(x) - x) + (1)/(sqrt(5[x] - [x]^(2) - 6))`
For f(x) to be defined `e^(x) - x gt 0`
and `5[x] - [x]^(2) - 6 gt 0`
`rArr x in R`
`rArr [x]^(2) - 5[x] + 6 lt 0`
`([x] - 3) ([x] - 2) lt 0`
`2 lt [x] lt 3`
No such value of x exist
So, `D_(f) = phi`
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