Ala. Code § 11-44C-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.