domesticated animal vs brute

domesticated animal and brute both are nouns.

Word	Noun	Adjective	Verb	Adverb
domesticated animal	Yes	No	No	No
brute	Yes	Yes	No	No

As nouns, brute is a hypernym of domesticated animal; that is, brute is a word with a broader meaning than domesticated animal:

domesticated animal: any of various animals that have been tamed and made fit for a human environment
brute: a living organism characterized by voluntary movement

Other hypernyms of domesticated animal include animal, animate being, beast, creature, fauna.

domesticated animal (noun)	brute (noun)
any of various animals that have been tamed and made fit for a human environment	a living organism characterized by voluntary movement
	a cruelly rapacious person

domesticated animal (adjective)	brute (adjective)
	resembling a beast; showing lack of human sensibility