Direction on how to connect LTM VE between internet and web server

I am interested in connecting a Big-IP LTM VE to the outside. Place web servers in the DMZ. Traffic from the outside hit F5 and traffic to pool of web servers will pass through a Firepower / Firewall.

What I am not sure about is if I assign an interface on the LTM a public address and assign that address to mywebservers.org, when traffic hits that interface on the LTM how is it forwarded to the pool? Can I create a VIP for a self-ip address? The LTM is used internally. I SNAT, automap.

Thanks in advance for any support.

John