DNS Problems

I can not access any website with their FQDN, however I have no
problem getting anywhere when I use the numeric IP addresses.

I had to change my server name to its numeric IP address in order to
send or receive mail.

I am not running any DNS servers on my machine, sometimes I can use
domain names, sometimes I can't. I am with qwest ( not much longer ) and
I have a domain parked at zoneedit.com that I use on this machine as a
test bed.

I have no problems pinging IP addresses, but can't ping domain names.

My distro is RH 7.2 kernel 2.4.9 and I am using a Netgear NIC.

Anyone have any ideas what I did wrong??

TIA

FrankM