Step 1: \ \

The rational function is \ \

\ \

\ \

There is common factor to cancel in the numerator and denominator of the above rational function. \ \

\ \

Therefore,  is a hole of . \ \

Step 2: \ \

find the domain of . \ \

A rational function is simply fraction and in a fraction the denominator cannot be equal to 0 because it would be undefined. \ \

Find the zeros of denominator. \ \

\ \

\ \

\ \

\ \

And it is  vertical asymptote is . \ \

Solution: \ \

Asymptote is . \ \

Hole is . \ \

There is no common factors to cancel in the numerator and denominator of the above rational function.