Final answer:
The assessment that would be performed on a patient to gather data about his previously diagnosed liver cancer is the Focused Assessment.
Step-by-step explanation:
The assessment that would be performed on a patient to gather data about his previously diagnosed liver cancer is the Focused Assessment. This assessment focuses specifically on gathering data related to the patient's diagnosed condition, in this case, liver cancer. Other assessments mentioned, such as Initial Assessment, Emergency Assessment, and Time-Lapsed Assessment, may also be performed at different stages of the patient's treatment, but the Focused Assessment is the most relevant for gathering information about the liver cancer.