Answer:
[tex]f(x)=x-1[/tex]
Step-by-step explanation:
From the question we are told that
Function [tex]f(x)= \frac{(x^2 - 5x + 6)}{(x - 4)}[/tex]
Generally we divide the numerator by the denominator mathematically
[tex]y=x-4\sqrt{x^2-5x+6}[/tex]
[tex]y=x-1[/tex]
Therefore the asymptote is given as
[tex]f(x)=x-1[/tex],