undertaker vs funeral director

undertaker and funeral director both are nouns.

Word	Noun	Adjective	Verb	Adverb
undertaker	Yes	No	No	No
funeral director	Yes	No	No	No

As nouns, undertaker and funeral director are synonyms defined as:

undertaker and funeral director: one whose business is the management of funerals

Other synonyms of undertaker include funeral undertaker, mortician.

undertaker (noun)	funeral director (noun)
one whose business is the management of funerals	one whose business is the management of funerals