[PNW Fireguy]

Your TV will charge your battery while driving and connected to your Montana. The inverter is not a device that charges but rathe a device that takes DC from your batteries and converts it to AC for use by your residential refrigerator. So if your inverter is on the fridge will be on. If your battery capacity is sufficient it will run the inverter over the time frame needed. If your are towing and your alternator’s output is sufficient it can recharge your Montana’s batteries.