Before purchasing an inverter, it's essential to check the power requirements (in watts) of both appliances to ensure the selected inverter can handle their combined load. Additionally, consider the surge power rating of the inverter, as some appliances require extra power during startup.
Keep in mind that running power-hungry appliances like air conditioners and refrigerators from inverters will drain the battery quickly. Therefore, it's essential to have a sufficient battery bank and possibly a solar charging system or a generator to recharge the batteries when the grid power is not available.