A governing body of a county or city which has declared itself to be the commissioners of the authority pursuant to Section 34290 may, at any time by resolution, determine that it shall no longer function as the commissioners of the authority, in which event, the mayor, if elected, or the governing body, pursuant to Sections 34270 or 34271, shall appoint commissioners of the authority, and, upon such appointment, the housing commission, if any, shall no longer function.