Hello,
Not sure, but i think you will need the 390xx nvidia drivers, but then not sure about CUDA and those drivers. There was a discussion about dropping legacy drivers here
Maybe you can try the dkms drivers, there are two in our repos, or go with the AUR packages so in that case it might help using the 430xx series, as those still have the support that was dropped with the 470xx drivers.
Make sure you have the linux headers installed for your installed kernels.
Look into early kms, but since that is a hybrid GPU laptop, not quite sure … The nouveau drivers will not give you CUDA in Blender …