enterprise vs undertaking

enterprise and undertaking both are nouns.

Word	Noun	Adjective	Verb	Adverb
enterprise	Yes	No	No	No
undertaking	Yes	No	No	No

As nouns, undertaking is a hypernym of enterprise; that is, undertaking is a word with a broader meaning than enterprise:

enterprise: a purposeful or industrious undertaking (especially one that requires effort or boldness)
undertaking: any piece of work that is undertaken or attempted

Other hypernyms of enterprise include labor, labour, project, task.

enterprise (noun)	undertaking (noun)
a purposeful or industrious undertaking (especially one that requires effort or boldness)	any piece of work that is undertaken or attempted
readiness to embark on bold new ventures	the trade of a funeral director
an organization created for business ventures