Sure do, that is how we power our 110V home fridge that we installed in out TT. TV can supply 30A @12V to keep the TT batteries charged while driving. This is plenty since the fridge only uses 90W when running which is 9 to 10A @12V for 20 minutes per hr.
just make sure that there is enough air circulation for cooling where ever you decied to mount the inverter. And use large enough cables for the dc supply side for the greater amount of amps needs.
All the time, I almost never turn it off. (it automatically switches on or off depending on shore power.. For example this morning I have a 2,000 watt space heater (Yes, it really is 2,000 watts) a Microwave and a toaster, all plugged into a 30 amp park outlet... CLICK and .. The heater turned off, Microwave and toaster did not miss a beat though as the Xantrex Prosine took over
Nothin adds excitment like something that is none of your business John is Near Kenwood TS-2000 housed in a 2005 Damon Intruder 377