Final answer:
HIM professionals can work for public health agencies within governmental agencies, which are supported by tax dollars and provide essential public services without the competition of the private sector.
Step-by-step explanation:
The setting that allows Health Information Management (HIM) professionals to work for public health agencies is governmental agencies. These agencies, such as the Department of Health and Social Services, do not operate in a market environment; instead, they are funded through tax dollars and are not driven by competition like private-sector firms. Governmental agencies offer vital services that are essential to the public interest and are charged with various roles from regulation to service provision.