IIRC yes, one of your domains must be the one you chose as inquisitor (inquisitions are domains without bonus spells) and cleric levels stack with inquisitor levels for determining the abilities of that domain
Correct one of the domains /inquisitions has to be the same for both classes. but the levels stack for both I believe ..... So my lvl7 inquisitor takes a level of cleric and gets the 8th level powers of both.