go after vs quest

go after is not a noun while quest is a noun.

Word	Noun	Adjective	Verb	Adverb
go after	No	No	Yes	No
quest	Yes	No	Yes	No

As verbs, quest is a hyponym of go after; that is, quest is a word with a more specific, narrower meaning than go after:

Other hyponyms of go after include tree, hound, hunt, trace, run down.

go after (noun)	quest (noun)
	the act of searching for something
	a search for an alternative that meets cognitive criteria

go after (verb)	quest (verb)
go in search of or hunt for	seek alms, as for religious purposes
go after with the intent to catch	express the need or desire for
	bark with prolonged noises, of dogs
	search the trail of (game)
	make a search (for)