Load-balancing traffic to servers into a VLAN and Subnet not linked to the F5

Hello Jacques, you can have routed pool members. BIG-IP will use his routing table to reach them. all you need to check is that servers have a route back to the BIG-IP SNAT address, or if you don't SNAT some PBR redirecting traffic to BIG-IP to keep sessions coherent, otherwise that another type of configuration using asymetric proxy on BIG-IP.