#### Answer

Domain: X is on the interval ($-\infty$, 1) U (1, $\infty$)

#### Work Step by Step

A denominator cannot be zero, so the domain is all real numbers except the x value where the denominator is 0.
In this problem the denominator is $x^{2}$ - 2x + 1, so:
$x^{2}$ - 2x + 1 = 0
This can be factored into:
(x-1)(x-1) = 0
x = 1
Therefore, the domain is all real numbers except where x = 1.