invent vs make up

invent and make up both are verbs.

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

As verbs, invent and make up are synonyms defined as:

Other synonyms of invent include cook up, fabricate, manufacture.

invent (verb)	make up (verb)
come up with (an idea, plan, explanation, theory, or principle) after a mental effort	apply make-up or cosmetics to one's face to appear prettier
concoct something artificial or untrue	put in order or neaten
	come to terms
	concoct something artificial or untrue
	devise or compose
	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