After working as an assistant at the University of Pisa, Betti returned to his home town of Pistoia where he became a teacher of mathematics at a secondary school in the town in 1849.
Pagkatapos nagtatrabaho bilang isang assistant sa University of Pisa, Betti ibabalik sa kanyang sariling bayan ng Pistoia kung saan siya ay naging isang guro ng matematika at isang sekundaryong paaralan sa bayan sa 1849.