Hospitable

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late 16th century: from French, from obsolete hospiter ‘receive a guest’, from medieval Latin hospitare ‘entertain’, from hospes, hospit- (see host1).

wiktionary

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Borrowed from Middle French hospitable, formed from the root of Latin hospitare with the suffix -able. Displaced native Old English cumlīþe(literally “guest-gentle”).

etymonline

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hospitable (adj.)

"kind and cordial to strangers or guests," 1560s, from French hospitable, which is formed as if from a Medieval Latin hospitabilis, from the stem of Latin hospitari "be a guest," from hospes (genitive hospitis) "guest" (see host (n.1)). The Latin adjective was hospitalis, but this became a noun in Old French and entered English as hospital. Related: Hospitably.