Reverse Proxy

To answer your question in general, you would need to consider a few things:

• how you are going to cause traffic to traverse your F5 system?
• are you going to use routing protocols or static routes?
• are you using a VM or physical appliance? If physical, does it have enough ports to accommodate the connectivity between all devices?
• do you have a requirement to route traffic across the F5? For example: Could you get by with connecting the system in a one-armed configuration to a firewall? Sometimes this can be more simple to implement.

Keep in mind that a VLAN can only belong to a single route domain instance, so you would need at least 4 VLANs to accommodate this deployment.