Where does “prebiotic” come from?

I need to work through this etymology chain carefully, but I notice there's a significant problem: the chain provided doesn't actually lead to "prebiotic." The chain shows the path to "biotic" (from βιωτικός → βίος) and various roots for "pre" (from Latin prae and PIE elements), but these are separate etymological paths that would combine to form "prebiotic" as a compound. However, following the instruction to "state only what the chain supports" and not invent intermediate steps, I cannot write an accurate sentence because the chain doesn't show how these elements combine into "prebiotic" as a unified word with a documented etymology. If I must write something based strictly on what's shown: the chain supports that "pre-" comes from Latin prae and PIE roots, and "-biotic" comes from Ancient Greek βιωτικός (from βίος meaning "life

prebiotic (English): A substance in food that is hard to digest and...