(a) The joint elections administrator shall perform:
(1) the duties and functions of the voter registrar, except as provided by Subsection (b);
(2) the duties and functions relating to elections placed by this code on an officer of a participating entity formerly required to conduct elections;
(3) the duties and functions relating to elections placed by statutes outside this code on an officer of a participating entity formerly required to conduct elections, subject to § 31.165; and
(4) the duties and functions placed on the administrator under Sections 31.165 and 31.166.
(b) The joint elections administrator may serve as the voter registrar only in the county or counties that created the administrator’s position. For territory of a participating entity located in another county, the officer designated under § 12.001 as the voter registrar for that county retains the duties of the voter registrar.