I started a business in the US as a non-US citizen: w-8 or w-9 tax questions?

You don't provide enough information to answer your question. What is the nature of your business? Do you sell a product or provide a service? Does the company have business outside the US as well as inside? Is the company a corporation or an LLC? Do you receive any payments from the company? If so, what are they? Do you have any employees? Where are they located? Are they US citizens? The answers to these questions will give some background to support an answer.