Would it be a good idea to buy a salvaged vehicle?

I've found this car that I would like to get, but it's a salvaged vehicle. I've obtained the carfax report and this is the breakdown. There were three owners. The first had no issues with the car and had it for 4 years and 2 months. He sold it to another person who wrecked it within the 4 months he owned it. It was declared a total loss vehicle and was taken by the insurance company. After that, a dealership took title of the vehicle and restored it; a rebuilt title was issued to it. Now, some other guy has bought the car and has had it for 7 months with no issues. This guy is now selling the car, and I was thinking about getting it. He says he has got it checked with a mechanic who said that the only thing wrong was the rear brake calipers and he fixed those. It seems as thought this car is running fairly well considering its past, but I would like to know whether it'd be a good idea. Obviously, the price is much lower which makes this more appealing. I am planning on test driving the car and seeing how it runs before I buy it as well as getting it checked out by a mechanic with me as a witness. Thanks.