it's better if you share the dns records in godady and f5 config.
usually, f5 dns implementaiton using dns record is like this:
Origin::
a. In godaddy:
host1.mycompany.com IN A 1.2.3.4
host2.mycompany.com IN A 11.12.13.14
host3.mycompany.com IN A 21.22.23.24
New using F5 DNS::
a. In godaddy: declare new subdomain to be NS-ed by F5 DNS and create alias record for previous A records
f5dc1.mycompany.com IN A 5.6.7.8 /// Datacenter1 F5 DNS listener address
f5dc2.mycompany.com IN A 15.16.17.18 /// Datacenter2 F5 DNS address
f5dns.mycompany.com IN NS f5dc1.mycompany.com
f5dns.mycompany.com IN NS f5dc2.mycompany.com
host1.mycompany.com IN CNAME host1.f5dns.mycompany.com
host2.mycompany.com IN CNAME host2.f5dns.mycompany.com
host3.mycompany.com IN CNAME host3.f5dns.mycompany.com
b. In F5 DNS:
create wideip configs for host1.f5dns.mycompany.com, host2.f5dns.mycompany.com, host3.f5dns.mycompany.com which basically serves:
host1.f5dns.mycompany.com IN A .... //IP address is decided dynamically by F5 DNS
host2.f5dns.mycompany.com IN A .... //IP address is decided dynamically by F5 DNS
host3.f5dns.mycompany.com IN A .... //IP address is decided dynamically by F5 DNS