Can I build a free business website?

[Jake]

I would strongly recommend not using a free domain name, they can be search ranking poison, the going rate is about $12/yr for a .com name.

The free domain names are often discriminated against due to the low cost and poor management of these encourage scam sites. Google recently blocked 11 million free .co.cc domains from their index.

If you have no coding experience a blogging platform may do, the industry standard wordpress platform offers free hosting at Wordpress.com, though there are paid upgrades for things like using your own domain name, There are no fees for Google's Blogger.com, to see examples of their design style, try a Google search for:
site:blogspot.com intitle:"your industryhere"