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

Explanation

To find the domain of the function \( f(x) = \log(e^x - x) + \frac{1}{\sqrt{5[x] - [x]^2 - 6}} \), we need to ensure that both components of the function are defined.

### Step 1: Determine the domain of \( \log(e^x - x) \)

The logarithmic function is defined only when its argument is positive. Therefore, we need:

\[
e^x - x > 0
...