The rational function is
.

In lowest terms
.
Find the vertical asymptote:
\Find the vertical asymptote by equating the denominator to zero.
\
Therefore,
is the vertical asymptote.
Find the horizontal asymptote:
\The function is
.
Since the degree of the numerator is equal to the degree of the denominator,
\horizontal asymptote is the ratio of leading coefficient of numerator and
\denominator.
\Leading coefficient of numerator
, leading coefficient of denominator
.
Therefore,
is the horizontal asymptote.
Vertical asymptote:
.
Horizontal asymptote:
.