How to find the asymptotes of the graph $y=\frac{x^2-5x-4}{x^2-5x+4}$? I just came across this question asking me to find the asymptotes of 
$$y=\frac{x^2-5x-4}{x^2-5x+4}$$
I typed this into my graphics calculator but I've never seen this type of graph before so this is something new. Currently studying functions. 
Would someone be able to explain to me thoroughly how to solve this problem and how to go about this type of questions in general?
Thank you!

Hint.
$$\begin{aligned}
f(x) &=\frac{x^2-5x-4}{x^2-5x+4}\\
&= \frac{x^2-5x+4 - 8}{x^2-5x+4}=1-\frac{8}{x^2-5x+4}\\
&=1-\frac{8}{(x-1)(x-4)}\\
&=1+\frac{8}{3} \left( \frac{1}{x-1} -\frac{1}{x-4} \right)
\end{aligned}$$
