Since you are not the first person, the dog has bitten I would say it is something to carefully consider.. If the dog has a habit of snapping or snarling at other people, you might need to put him down. It is not an easy decision or one to be made in haste.
I had a choclate Lab mix, that was originally found by a rescue group in a school yard when he was six-week old being kicked around by children, who were old enough to know better.
We took the dog home and for years he was a wonderful pet. However, he grew more aggressive to most people except me. That dog would sit by my chair so I could constantly pet him. He would lay in a position that would allow him to look up at me and look at my wife in the adjoining kitchen. However, when Wheel of Fortune came on and as Vanna White was introduced, he would turn around and watch the show and then turn back to the original position.
I was hospitalized for two weeks for a perforated colon. When I came home, I spent a lot of time in my recliner. The dog would not leave my side. He went outside when I sent to the bathroom. He would not leave me to eat for a few days. The adjective devotion does not adequately describe that dog's attitude toward me.
However, he started to get more aggressive. He bit the grandson of my wife's best friend. He snapped at a neighbor. Then, one day, when I was trying to get him out of his kennel to go outside, he bit me. If he would bite me, he would bite anyone.
This happened on a Saturday, and I was leaving the following afternoon for a business trip in another state and did not want to leave my wife and son along with the dog. We called the vet, and he said it was time to put him down. He had always been concerned about the dog's aggressive behavior toward most people.
So the next day, Sunday, we took him to the vet and said good-bye. It is hard to put down a pet that was such a part of the family, but it was best thing to do for everyone's safety.
Since you believe he has bitten other people, my advice is the watch your dog closely and if he starts to show aggressive behavior to people that he should know, then you may have to consider putting him down. Also, as some dogs get older, they become more aggressive.
It is a hard thing to do, but it may be the best for the safety of your family and could save you form a costly law suite if he hurts a neighbor or anyone outside the family.