I have a 2007 Hyundai Azera and there is a whine coming from the transmission. The car performs fine, but the noise is annoying. Is this a serious problem?

You have the VIN#. Call the dealer. They are the only ones that can tell you your options on that car.

sounds like a transmission, try to shift it to neutral after you reach 2000 rpm + and see if the whining will stop

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If the battery was disconnected and the radio is factory fitted and needs an activation code .... then you need to enter the activation code

well it is not your relay ,,codes need reset ...go to autozone they will reset your codes

You have about 25 to 35 miles left when the gas light comes on depending on the driving conditions

Possible transmission gear noise, but would need to hear it to confirm.

1. The tapping is normal for an engine with hydraulic lifters, it's perfectly normal, and I promise nothing is broken or breaking.
2. The transmission has some sort of blockage in a screen or valve body or something, it needs a reverse flush and new filter from a dealership, NOT some fly by night repair shop, and MAKE SURE the dealer will flush the transmission, NOT just drain and fill, which will not solve the sound issue.
3. The clunk is probably a failing transmission, I'm going to speculate and say the car has a fair amount of miles on it, you are not the original owner from new, and you have not personally had the transmission fluid flushed, nor have you any evidence saying the fluid was changed before you bought it.

Get the fluid in the trans back flushed, and change the filter, hopefully you'll get a few more miles out of it. Good luck.

First of all, I have NO IDEA what you are relating to an idler pully!... Best SOLUTION:.. Take the vehicle back to the dealership and have them diagnose it under warranty... sould good?

your whining noise might be comming from dry belts in order to pinpoint your problem have a jug of water ready before startup open the bonnet then startup if the noise appears pour water over the belts if noise goes away replace v belts

Try it with the engine not running. If it works fine, the problem is RF interference. If you are using platinum spark plugs instead of the old copper resistor plugs, it can cause this.