Your rig is wired for a washer, and a dryer, and a residential refrigerator. The inverter would operate only the res. refrigerator when on battery power only. You do have a converter, it charges the batteries when you are connected to shore power or to the truck.
"Next to prayer, fishing is the most personal relationship of man" Herbert Hoover
"American by Birth, Southern by the Grace of God"Lewis Grizzard
2016 GMC Denali 3500Dually--2017 CC 36CKTS