domestic animal vs brute

domestic animal and brute both are nouns.

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

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

domestic 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 domestic animal include animal, animate being, beast, creature, fauna.

domestic 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

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