well, we would need to know what g(x) is to help you with that...

asymptotes are lines that our function gets close to as we approach particular value(s) in the domain. there are three types: vertical, horizontal and oblique. you should look these up in a google search or something. you need to know what asymptotes are and how to find them if you are to answer problems of this nature.What exactly is an asymptote?