Ok, so
We got the following graph of a rational function f.
First, the vertical asymptotes are located in x=-3 and x=2 as you can see.
The domain of the function are all the values that "x" could take.
In this case, we can clearly see that our domain will be:
[tex]D=(-\infty,-3)U(-3,2)U(2,\infty)[/tex]
