business vs appointment

business and appointment both are nouns.

Word	Noun	Adjective	Verb	Adverb
business	Yes	No	No	No
appointment	Yes	No	No	No

As nouns, appointment is a hyponym of business; that is, appointment is a word with a more specific, narrower meaning than business:

business (noun)	appointment (noun)
the principal activity in your life that you do to earn money	the act of putting a person into a non-elective position
the activity of providing goods and services involving financial and commercial and industrial aspects	the job to which you are (or hope to be) appointed
the volume of commercial activity	(law) the act of disposing of property by virtue of the power of appointment
incidental activity performed by an actor for dramatic effect	(usually in the plural) furnishings and equipment (especially for a ship or hotel)
an immediate objective	a meeting arranged in advance
a rightful concern or responsibility	a person who is appointed to a job or position
a commercial or industrial enterprise and the people who constitute it
customers collectively
business concerns collectively