if you ran it out completely hopefully you did not damage the electric fuel pump. a fuel injected vehicle needs fuel around the pump to keep it cool and provide lubrication to moving components. If you have fuel in it now you can try cycling the key on and off a few times without going all the way to start. This will allow the pump to run for a couple of seconds at a time and help purge the air out of the system. After you have done this a few times try starting it as you would normally. If it starts you're in luck, but if it doesn't we will have to look into further troubleshooting.
Are you sure you are out of gas? I would check to see if you have spark, and also if you have fuel pressure. To check for spark is easy, to check for fuel pressure you will need a fuel injection pressure gauge.
Ok then we will need to check for fuel pressure.There is a small valve on the fuel rail with a black cap you can put a pressure gauge on it and check to see if you are getting fuel pressure. By the way, is the Tahoe a new body style, and what engine is in it?
I will have to go off line for a few hours, but I can continue helping you out as soon as I can get near the computer OK?