question vs inquire

question is a noun but inquire is not a noun.

Word	Noun	Adjective	Verb	Adverb
question	Yes	No	Yes	No
inquire	No	No	Yes	No

As verbs, inquire is a hypernym of question; that is, inquire is a word with a broader meaning than question:

Other hypernyms of question include ask, enquire.

As verbs, inquire is a hyponym of question; that is, inquire is a word with a more specific, narrower meaning than question:

Other hyponyms of question include enquire, wonder, interpellate, examine, pump, check out, feel out, sound out, debrief.

As verbs, inquire is a hypernym of question; that is, inquire is a word with a broader meaning than question:

Other hypernyms of question include ask, enquire.

question (noun)	inquire (noun)
uncertainty about the truth or factuality or existence of something
an instance of questioning
the subject matter at issue
a formal proposal for action made to a deliberative assembly for discussion and vote
a sentence of inquiry that asks for a reply
an informal reference to a marriage proposal

question (verb)	inquire (verb)
pose a question	have a wish or desire to know something
challenge the accuracy, probity, or propriety of	address a question to and expect an answer from
place in doubt or express doubtful speculation	conduct an inquiry or investigation of
pose a series of questions to
conduct an interview in television, newspaper, and radio reporting