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

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Answer 1 · 2018-06-10T21:41:42

There is one asymptote at $x=1$

Factor:

$(x^2 - x + 2)/ (3x - 3)$

$(x^2 - x + 2)/(3(x-1))$

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

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

$3(x-1)=0$

$x=1$

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

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