He initially studied music at the Turin Conservatory under Bernardino Ottani, and learned painting from Pietro Giacomo Palmieri (1737–1804).
Bagetti was named an architect in 1782 for the Royal University, and began and paint watercolor vedute of coastal locations.
[citation needed] With the fall of Napoleon, he regained his post as professor at the Royal Academy of Fine Arts (Albertina Academy) and celebrated the return of the House of Savoy with paintings depicting The May 20, 1814 Entry into Turin of Vittorio Emanuele I and The August 22, 1815 entry of Queen Maria Teresa to the Port of Genoa.
[3] Following a commission by Duke of Genoa, and future King of Sardinia Carlo Felice in 1820, Bagetti also painted several fictional landscapes.
In these works, he displayed his capacity to represent in great details natural phenomena, including their botanical and geological features.