What to do when an inspector misses stuff?

Did you get a home warranty?
When I bought my house a year ago, the seller paid for a one year home warranty (something my realtor recommended). I used it a couple times on stuff like leaking pipes and a broken dishwasher.
Can't remember what the specifics are right now (if it covered major things like that), but I remember her saying it would help out if we ran into any problems that were missed..
I just renewed it last month just in case.