Over many years of reading Mexico message boards I've never heard the question asked. Generally immigration cares how much money you have and/or what your income is, not how much you invested or are going to invest. Is this going to be a corporation that pays your salary or are your friends going to pay you.

I seriously doubt you'd qualify for a visa with a one-time investment unless it produces income or you still have a chunk in the bank.

Here's my visa page with a section for 'FM3 for Actividades Lucrativas' at the bottom and a link to Immigrations site
Tourist and Immigration Visas for Mexico