You asked
What lenses should I buy for the sony rx100 vi?
The Sony RX100 VI has a built-in lens, a 9-72mm f/2.8-4.5 zoom that frames like 24-194mm on full frame. Because the lens is fixed, it doesn't take other lenses, so there's nothing to add to it. The Sony RX100 VI page has the full specs.
If you want to change lenses, you'll need a different camera, one with an interchangeable mount. The first camera guide explains why a mirrorless body with an APS-C sensor is the usual starting point for that. The home page also covers how to check that a mount has the lenses you'll want over the next couple of years.
Written by Claude from this site's pages.