business life vs career

business life and career both are nouns.

Word	Noun	Adjective	Verb	Adverb
business life	Yes	No	No	No
career	Yes	No	Yes	No

As nouns, career is a hypernym of business life; that is, career is a word with a broader meaning than business life:

business life: a career in industrial or commercial or professional activities
career: the particular occupation for which you are trained

Other hypernyms of business life include calling, vocation.

business life (noun)	career (noun)
a career in industrial or commercial or professional activities	the particular occupation for which you are trained
	the general progression of your working or professional life

business life (verb)	career (verb)
	move headlong at high speed