Inverters don't provide 12 VDC power so did you mean the inverter is working and supplying power to your residential fridge?
Generally the inverter is connected directly to the batteries through its own high current breaker. If your USE/STORE switch is in USE then check the 100 or 50 amp DC breaker that supplies the other DC loads. If you reset it and you still have a problem then you have a more complicated problem.
Ted & Melinda
2016 ACE 27.1
2016 Chevy Sonic Toad
2020 Chevy Colorado Z71 Trail Runner Alternate Toad