$\"\"$

Find the domain of each function and the equations of any vertical or horizontal asymptotes, noting any holes.

The function $\"\"$ .

$\"\"$

Cancel the common terms.

$\"\"$

Find the domain of the function.

The denominator value can not be zero, so find excluded values.

To find excluded values equate the denominator value to $\"\"$ .

$\"\"$

$\"\"$ .

Domain of the function is $\"\"$ .

$\"\"$

Find the vertical asymptote of the function.

To find the vertical asymptote denominator of the function equate to zero.

Since the denominator does not have any value vertical asymptote does not exist.

$\"\"$

Find the horizontal asymptote of the function.

$\"\"$

$\"\"$ .

The function does not have any horizontal asymptote.

$\"\"$

Since the factor $\"\"$ in the denominator can be canceled out by the factor $\"\"$ in the numerator, the value of $\"\"$ is a hole.

$\"\"$

Domain of the function is $\"\"$ .

No vertical asymptote.

No horizontal asymptote.

The hole of the function is $\"\"$ .