For PCI/AGP cards, the bus-id string has the form PCI:bus@domain:device:function (e.g., “PCI:1@0:0:0” might be appropriate for an AGP card).
But now you're wondering about the domain, and the xorg.conf official documentation only lets you know you don't need it unless you do.
We'll find the domain using the "lspci" script, with the -s switch. The "-s" switch has filter "[[[[domain]:]bus]:][slot][.[func]]". Domains are numbered from 0 to ffff), bus (0 to ff), slot (0 to 1f) and function (0 to 7).
So for your example, test domain 0, bus 1, slot 0 (if no .func, it searches all func).
lspci -s 0:1:0
If the output is your card, then the final form is
BusID "PCI:1@0:0:0"
Notice the bus@domain, not domain@bus. For most motherboards, the truth is the domain will always be 0. I have two cards and one is on bus 1, the other bus 7, but they are both on domain 0. I suspect domain > 0 means you have a pcie fabric switches, but I'm not sure.