Someone here will correct me if I am wrong, Please, but I think a Full Frame Lens will work fine on a DX camera ( ex. my D3300 ) although a DX Lens will NOT produce a proper image on a F.F. Camera, something concerning F.O.V. and Vignetting.
I have a Nikon 50mm 1.8g lens on my Nikon D3300 DX Camera and it works great, of course I must consider the corrected 1.5 crop factor F.O.V. on my D3300, the 50mm lens will = a 75mm image. And this "Crop Factor" applies to all Lens on a Nikon DX (Crop Sensor) Camera.

I am retired now and are able to spend more time with photography with a focus on sports, family, traveling and outdoor wildlife. My current equipment is Nikon D500 upgraded from D300 about 9 months ago. Lenses are Nikkor 17-55 2.8 DX, Nikkor 55-300 4.5-5.6 DX, and Nikkor 80-200 2.8. Great camera, however, I have been trying to decide whether to go to the new full frame D850 or stay with the Crop cameras. It is an expensive upgrade plus would need to upgrade some of my lenses. If I decide to move forward to Full Frame does it make sense to first purchase full frame lenses ( for example 200-500 2.8) to be used with D500 which would buy me some time before i am able to purchase the D850. Or the reverse, buy the camera and use my DX lenses on the D850 until i could upgrade my lenses. What are the pros and cons of full frame lenses on DX cameras. Any help in thinking through the issues involving Full Frame vs. Crop and the best way to migrate from DX to full frame.