Business can sometimes mean company or firm. However, can it be used in the way company or firm are used?
For example, can I say:-
"He is the CEO of the business."
"It's a TV business."
"A business dealing with drugs."
This question is too basic; it can be definitively and permanently answered by a single link to a standard internet reference source designed specifically to find that type of information.If this question can be reworded to fit the rules in the help center, please edit the question.
You could say all of those things in certain contexts. It would depend on what went before and what came after.
Answer: Yes!! (Not always though..)
Let's consider your examples again,
Acceptable- "He is the CEO of the (biggest) business (in the history)."
Incorrect- "He is the CEO of (the/our) business."
Acceptable- "It's a TV (making) business."
Incorrect- "It's a TV business."
Informally acceptable- "A business dealing with drugs." (Should be "in" instead or "with".)
So, as Barrie already pointed out, the usage usually depends on what came before and what follows the sentence. The word 'business' doesn't necessarily always mean a company.