The function is .
Find the domain.
\Domain of the function is all possible values of x.
\Since it is a rational function, the denominator should not be the zero.
\Thus, the domain of the function is all values of x except 2.
\The function is .
Find the vertical asymptotes by equating the denominator to zero.
\The line is the vertical asymptote of
.
The function is .
\
Since the leading coefficient of numerator(0) is less than the leading coefficient of denominator(1), is a horizontal asymptotes of
.
Domain : all real values of x except 2.
\Vertical asymptotes : .
Horizontal asymptotes : .