Final answer:
The radiologist will bill separately for their professional services, which include interpreting the x-ray of the wrist and providing a diagnosis.
Step-by-step explanation:
When a patient presents with pain in the left wrist and a three-view x-ray of the wrist is performed at a hospital, the hospital bills for the technical component of the x-ray. The radiologist, who interprets the x-ray, will bill separately for his services. This professional component is billed because the radiologist uses their expertise to analyze the x-ray images and provides a diagnosis based on the findings. The billing for the radiologist's interpretation of the x-ray will be under the specialty of radiology, which is the use of x-ray technology in medicine. It is important to note that radiologists work directly with patients to ensure proper imaging and to diagnose conditions based on these images.