How can I reply using an e-mail address with a different domain than the one on my exchange

Our main Domain, is configured in Exchange 2007, this is our primary email server.  We recently purchased a separate domain. for a small project that the execs are working on.  We have this domain being forwarded straight from "Go Daddy" to each of their individual email addresses.

Example: (new domain) to (existing account here).  

The problem is that when they reply they are replying with (existing account here) not the new domain.
Tony VargasIT AdministratorAsked:
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Explain this:

"We have this domain being forwarded straight from "Go Daddy" to each of their individual email addresses."

It doesn't make sense.

A domain is not forwarded to an address.  Mail is forwarded to an address.

What EXACTLY is the forwarding setup?

Are the execs receiving emails at  Do they have mailboxes associated with those addresses?
Or do emails sent to land in a mailbox associated with ?

What are they using to send and receive mail?  Outlook?  Something else?
Tony VargasIT AdministratorAuthor Commented:
We have 3 email addresses being forwarded straight from "Go Daddy" to each of their individual email addresses here.

Go Daddy has a free email forwarding feature  "Forwarding Addresses Only" you can use if you do not want to set up email accounts with them.

    All Accounts
    Email Accounts Only
    "Forwarding Addresses Only"

Yes, emails sent to land in a mailbox associated with

They receive the mail in the Outlook inbox, however when they reply it uses addresses.

Do I need to set up a connector in Exchange?
Tony VargasIT AdministratorAuthor Commented:
More info regarding the Go Daddy Forwarding:

Email Forwarding — lets direct incoming messages from one email address to another.
So from the recipients' perspective, they can't tell that the messages were originally sent to the address on the other domain.   Accordingly, they reply from the domain at which they received the email.

The recipients will need to choose which email address they want to respond from when they draft their replies.

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Tony VargasIT AdministratorAuthor Commented:
Yes you are correct
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