I believe the FX uses a variable displacement compressor so it's not off or on like old style setups. It may be spinning but not doing much if there is no demand.
Only real way to diagnose is with a hi/lo gauge. So either spend $55 at Harbor Freight or take it to a shop.
Low side should be somewhere between 35 and 45psi. I don't think the compressor will even engage below 25psi.
High side will be dependent on temperature, but it's usually 2.2-2.5x the ambient temperature. So if it's 80 degrees out, high side should read ~180-200psi.
High side and low side will equalize if the AC is off. So if you turn the AC on and the high/low pressures are the same, your compressor isn't kicking in for some reason. If there is a blockage on the high side in evaporator or expansion valve or pinched line, this will cause high side pressure to build up too high. If that happens, it would trigger a safety cutoff and your AC will stop working. That may be a reason you have AC some days but not others.
If the low side pressure is low when the system is off, turning the AC on can cause it to drop further as the compressor moves refrigerant through the system. If that pressure drop takes it below 25psi, it can cut off.