# How do you find the vertical, horizontal and slant asymptotes of: f(x)=(x^2 + 1)/ (x-2)^2?

Nov 28, 2017

$V A : x = 2$
$H A : y = 1$

#### Explanation:

$f \left(x\right) = \frac{{x}^{2} + 1}{x - 2} ^ 2$
$f \left(x\right) = \frac{{x}^{2} + 1}{\left(x - 2\right) \left(x - 2\right)}$
*(https://socratic.org/precalculus/functions-defined-and-notation/asymptotes)

$V A : x = 2$
$H A : y = \frac{1}{1} = 1$