I grow my tomatoes in the reusable cloth grocery bags from Walmart (can use any cloth grocery bag, they're cheaper than actual grow bags). The plant will "root prune" and not become root bound. This also produces more roots that actually are the type that absorb food for the plant. The large circling roots from being root bound don't feed the plant. You should feed tomato plants. I use Miracle Grow tomato food. Here is an article I found quickly.
https://kellogggarden.com/blog...