Are Multi-Column Indexes a good idea?

Indexing can greatly improve the performance of database queries over a large dataset. Postgres supports Indexing multiple columns, which can be more performant and space efficient, than multiple single-column Indexes. In this video, Jon Meyers demonstrates how to create a Multi-column Index and discusses some of the design considerations and tradeoffs that need to be made.
Managing Indexes in PostgreSQL: supabase.com/docs/guides/data...
00:00 An inefficient query
01:00 Improving performance by not over-fetching data
02:03 Single-column Indexes to reduce query time
04:21 An extremely inefficient query using an Index
06:08 Designing a Multi-column Index to satisfy multiple queries
07:22 The sequence of columns is important in Multi-Column Indexes
09:46 Which is more space efficient?
10:53 Maybe a single Covering Index would be better
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