## Algebra and Trigonometry 10th Edition

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