Answer
The domain is $\{x\in \mathbb{R}|x\gt1\}$.
Work Step by Step
Requirement (1)
For a fraction to be defined, the denominator can not be equal to $0$.
Thus,
$x-1\ne0$
$x\ne1$
Requirement (2)
For a square root to be defined, the expression inside the radical must be greater than or equal to $0$.
Thus,
$\frac{2}{x-1}\geq0$
As the nominator will always be positive, the denominator should also be positive.
$x-1\gt 0$
$x\gt1$
The two requirements can be applied together, to define the domain:
$x\gt1$ and $x\ne1$.
Therefore the domain is {$x|x\gt1$}.
