Ala. Code § 11-43C-23

The council, upon recommendation of the mayor, by ordinance may create, change, and abolish offices, departments, or agencies, other than the offices, departments, and agencies established or continued by this chapter. The council, upon recommendation of the mayor, by ordinance may assign additional functions or duties to offices, departments, or agencies established by this chapter, but may not discontinue or assign to any other office, department, or agency any function or duty assigned by this chapter to a particular office, department, or agency.