inquire vs request

inquire is not a noun while request is a noun.

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

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

inquire (noun)	request (noun)
	the verbal act of requesting
	a formal message requesting something that is submitted to an authority

inquire (verb)	request (verb)
have a wish or desire to know something	express the need or desire for
address a question to and expect an answer from	ask (a person) to do something
conduct an inquiry or investigation of	inquire for (information)