# What are the asymptotes of (x^2 - x + 2)/ (3x - 3)?

##### 1 Answer
Jun 10, 2018

There is one asymptote at $x = 1$

#### Explanation:

Factor:

$\frac{{x}^{2} - x + 2}{3 x - 3}$

$\frac{{x}^{2} - x + 2}{3 \left(x - 1\right)}$

Since no factors cancel there are no removable discontinuities (holes).

To solve the asymptotes set the denominator to 0 and solve:

$3 \left(x - 1\right) = 0$

$x = 1$

graph{(x^2 - x + 2)/ (3x - 3) [-10, 10, -5, 5]}