(a) In addition to the duties specified in Section 1926, a registered dental hygienist in alternative practice is authorized to perform the duties pursuant to Section 1910.5, in the following settings:
(1) Residences of the homebound.
(2) Schools.
(3) Residential facilities and other institutions.
(b) A registered dental hygienist in alternative practice is authorized to perform the duties pursuant to paragraph (2) of subdivision (a) of Section 1910.5 in the settings specified in this section under the general supervision of a dentist.