Where does “ταχυφαγείο” come from?

ταχυφαγείο (Greek) comes from Greek φαΐ, from Byzantine Greek φαγί, from Ancient Greek φαγεῖν, from Proto-Indo-European bʰh₂g-, from Proto-Indo-European bʰeh₂g- — to divide, distribute, allot.

ταχυφαγείο (Greek): fast food outlet

Definitions

fast food outlet

Ancestry of “ταχυφαγείο”, step by step

Step	Language	Word	Meaning
1	Greek	φαΐ	food
2	Byzantine Greek	φαγί	—
3	Ancient Greek	φαγεῖν	aorist active infinitive of ἔφαγον
4	Proto-Indo-European	bʰh₂g-	—
5	Proto-Indo-European	bʰeh₂g-	to divide, distribute, allot

Every word from Proto-Indo-European bʰeh₂g- →Every word from Proto-Indo-European bʰh₂g- →Every word from Ancient Greek φαγεῖν →