How well do you live after a liver transplantation?

Very well. After successful liver transplantaion , will have near normal life style, will be active, most of the time will go back to work, and have to take immunosupressive medications for rest of the life, avoiding getting infections.
Very well. If the liver is working well, the recipients are only limited by other co-morbidities (problems). There is something called the transplant olympics around the country. You would be shocked to see the athletic prowess of many organ transplant recipients. Track and field, team sports, etc. Many are much better than I am running, swimming, tennis, etc.