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**Mathstud28** Yes, its not too hard. Just assume that for startes the domain is $\displaystyle

\forall{x}\in\mathbb{R}$

Then narrow it down from there, going from problem spot to problem spot

For example we cannot have divsion by zero, we cannot have negative roots, etc.

From there it is fairly simple

So in your problem, the only forseeable discontinuity would be where the denominator equals zero.

So your domain would be

$\displaystyle \forall{x}\in\mathbb{R}\wedge{x^2-2}\ne{0}$