from the 05 owners manualIf it is not the fuse, then it could be the relay. The switch in the dash provides 12V to activate the inverter relay, and when the inverter relay closes, power from the INV fuse is connected tothe inverter. The inverter relay is above the glove compartment, there are pics of it in
http://forums.genvibe.com/zerothread?id=6403.Looking at your car domain site, your vibe could have all kinds of things knocked about, maybe it just is loose. Maybe all you need to do is reach up/around and push the relay back down into the socket. You have an 05, which didn't come with the 12V outlet in the center console, but even if you haven't added one, the relay for it should still be there anyway, right next to the inverter relay and the tail light relay, all three the same part number, so you could swap those two relays to check if it is a bad relay.
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