145k views
1 vote
Domain of (5x-2)/(x+2)

User Danwellman
by
7.9k points

1 Answer

3 votes

Answer:

Domain: All real numbers except -2

Explanation:

The domain of a function is "the set of all possible inputs for the function". In other words, it's all the possible x's you can put into the function without any problems. What do I mean?

Well, take f(x) = x from |R to |R for example. (|R is the set of all real numbers.) The domain of this function is all real numbers. Why? Well, you can put any real number as x, and there wouldn't be any problems!

Another example is f(x) = 1/x from |R to |R. Now, we have a problem. If x = 0, then we would have f(x) = 1/0, and that's undefined. So 0 is not in the domain. But everything else is! So the domain is all real numbers except 0.

Same thing with f(x) = (5x-2)/(x+2) from |R to |R. If x = -2, then we would have f(x) = -12/0, which is also undefined. So the domain of f(x) = (5x-2)/(x+2) from |R to |R is all real numbers except -2.

User Ben Bartle
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories