The asymptotes are found using the rational function ax^n/ bx^m where n is the degree of the numerator and m is the degree of the denominator.
In the given equation the numerator isn’t raised to any power so n is considered equal to 1. The Demi actor has x raised to the 2nd power so m equals 2.
If n < m then the c axis, y= 0 is the horizontal asymptote.
Also because n is less than m there are no vertical asymptote.
The domain is any real number so the domain would be (-infinity, infinity)
