Maybe it's just an example, but I wouldn't recommend having Google in your domain name. If anyone likes to defend their trademark, it's those guys...and they have the resources to pursue every case.
Regarding your query, it will not rank as highly as keeping the keywords in the desired keyword search order. While it sounds a little silly, for the search phrase:
"first page of google,"
all other things equal, google would give preference to firstpagegoogle.com over googlefirstpage.com.
I hope that answers your questions.