Christina, Nikon full frame Digital SLRs are compatible with just about any Nikon lens made since 1959. Some of the earlier lenses need to be modified but as far as I know all Nikon auto focus lenses are fully compatible.
BUT a DX lens will not cover the full frame area and will be soft and suffer vignetting in the area of the sensor that is larger than the DX format. With the current FF models you can chose whether to shoot full frame with a DX lens and crop as you like or have the camera automatically drop down to its DX mode and get the 1.5X effective focal length. One of Nikons objectives over the years has been to maintain the highest possible lens compatibility with its premium range cameras and they have managed to do this better than any other SLR manufacturer.
Note: When I say fully compatible you are still restricted to the functions that were built into the lens. See link below if you want to check functions available for a specific lens.
http://www.kenrockwell.com/nikon/compatibility-lens.htm