are those business that offer to pay you to do at home data entry for a small fee legitimate?

Answer 1

Try researching it in the Business Opportunity Search Engine

Your results from the community powered Business Opportunity Search Engine are much more focused than a general search engine and they will continue to learn and adapt, anonymously and automatically, based on the search behavior of every search you request.

http://www.businessopportunitysearchengine.com

Answer 2

One thing to keep in mind: if a 'job offer' ever asks you to send them money (for a start-up fee, for information, for training, etc.) do NOT send them money. This is a red flag.

Sometimes those businesses are legit, sometimes not. But do NOT send them money .... NO MATTER WHAT. And you can check with the Better Business Bureau to check the company out.