compose vs make up

compose and make up both are verbs.

Word	Noun	Adjective	Verb	Adverb
compose	No	No	Yes	No
make up	No	No	Yes	No

As verbs, make up is a hypernym of compose; that is, make up is a word with a broader meaning than compose:

Other hypernyms of compose include be, comprise, constitute, represent.

compose (verb)	make up (verb)
make up plans or basic details for	apply make-up or cosmetics to one's face to appear prettier
produce a literary work	put in order or neaten
write music	come to terms
put together out of existing material	concoct something artificial or untrue
calm (someone, especially oneself); make quiet	devise or compose
form the substance of	do or give something to somebody in return
	make up work that was missed due to absence at a later point
	form or compose
	adjust for