fag vs homosexual

fag and homosexual both are nouns.

Word	Noun	Adjective	Verb	Adverb
fag	Yes	No	Yes	No
homosexual	Yes	Yes	No	No

As nouns, homosexual is a hypernym of fag; that is, homosexual is a word with a broader meaning than fag:

Other hypernyms of fag include gay, homo, homophile.

fag (noun)	homosexual (noun)
finely ground tobacco wrapped in paper; for smoking	someone who is sexually attracted to persons of the same sex
offensive term for a homosexual man

fag (adjective)	homosexual (adjective)
	sexually attracted to members of your own sex

fag (verb)	homosexual (verb)
exhaust or get tired through overuse or great strain or stress
work hard
act as a servant for older boys, in British public schools