A lot of bad info above... the 9 amps is times 12V not 120 so it's only 108W, not more than 1000W. You only need a 500W inverter to run a home refer. If Samsung refer it does not need to be a PSW as they use a DC compressor... otherwise you need a PSW inverter to run a motor efficiently. My 21 cuft refer draws 8 amps into the inverter when running... 96W and a duty cycle of less than 50 percent.
If you are FHU to FHU camper you do not need to do anything other than keeping the doors on the refer closed if traveling 5-6 hours. If you go 8 hours then I'd freeze a gallon of water and put it in the refer section on those day.
If you only boondock occasionally but put in a inverter I would run the inverter 120V to a compartment near the refer and a extension cord from the outlet that the refer is currently plugged into... to the same compartment so you can manually switch from shore to inverter power. Yes, you have to run the refer's power cord to the same compartment.
If you boondock often then I would add 200+ AH of batteries (no you do not need 800 AH of additional batteries.) so you can go 24 hours before needing to run the generator to recharge the batteries. I would probably just run the refer off of a 500W PSW inverter all of the time.