I think this is generally a bad idea. I assume you are talking about having a name, say, Quadd Ltd and then building the site on something like seocompany.com
The exact match will get you an instant boost in Google for “seo company” and help with other aspects of SEO but its less memorable IMO. I’ve seen it done before but it looks tacky. I don’t think its worth it unless its a awesome exact match domain. If you email me the name choices, I can tell you exactly what I’d do.
If it’s for a business for just you, I’d recommend just using your name.
eg, http://www.sandrapilarczyk.co.uk/
http://www.sofiesandell.com/
http://www.solveigmalvik.com/
http://dansenter.co.uk/
are all JCI members that have built sites off there name. The advantage of that, is that its memorable and flexible. Anyone of them can just rewrite the site and carry on with the same domain. If you go down the route of choosing an exact match domain like, seocompany.com then you are pretty much limited to doing SEO.
