biographer vs writer

biographer and writer both are nouns.

Word	Noun	Adjective	Verb	Adverb
biographer	Yes	No	No	No
writer	Yes	No	No	No

As nouns, writer is a hypernym of biographer; that is, writer is a word with a broader meaning than biographer:

biographer: someone who writes an account of a person's life
writer: writes (books or stories or articles or the like) professionally (for pay)

Other hypernyms of biographer include author.

biographer (noun)	writer (noun)
someone who writes an account of a person's life	writes (books or stories or articles or the like) professionally (for pay)
	a person who is able to write and has written something