Cigarette Lighter Fuse?

Abut 6-8 months, it stopped working with the adapter I had for an FM transmitter for my MP3 player. I then tested it with the cigarette light, which I almost never use, and it did not work with that. It continued to work with a phone charger until about two weeks ago. I was looking for insight into the cost of fixing it as a sanity check for the next time I take it in for routine maintenance, but, thanks, this information is helpful.