A lot of things can go bad on a 13 year old car.
3.8? 4.6? Does it crank or not? If not, does the starter click? Anti-theft light on? Any
mods or
aftermarket parts on the car? Recent work done or trouble? Other symptoms or odd behavior? CEL or other dash lights previously on?
If all answers are "no", then start checking the fuses and relays marked START, ECU, IGN, BATT in the areas shown in the website below as well as on top of the battery. Battery fuse blocks are known to go bad as well (fatigue cracks in the bus bars).
Fuse box diagram (location and assignment of electrical fuses and relays) for Hyundai Genesis (BH; 2008, 2009, 2010, 2011, 2012, 2013).
fuse-box.info