so what you do is find any vertical assemtotes and holes
VA's are the factors of the denomenator
holes are the factors that cancel from top and bottom
so
factor bottom
(x-3)(x-7)
we get
y=[(x-7)(x-3)]/[(x-7)(x-3)]
simplifying to
y=1
we notice that factored out x-7 and x-3
set them to zero
x-7=0
x=7
x-3=0
x=3
at x=7 and x=3 there are holes
they are gaps or holes there and it is removable because you could graph y=1 and get the same graph except for those removed points
the points are at (7,1) and (3,1)