How to find domain for f(x) = x^2+3?

1 Answer
KillerBunny
Oct 7, 2015

The domain is the whole set \mathbb{R}.

Explanation:

The domain of a function is the set of value you can give as input to the function. Now, your function takes a number x, squares it (x^2), and then adds 3: (x^2+3).

The question is: is there any number which can't be squared? And the answer is no: we can square any real number, since it is always a legit operation. Needless to say, we can also always add 3 to any number. So, there are no numbers to exclude from the domain.

Related questions
See all questions in Domain and Range of a Function
Impact of this question
1515 views around the world
You can reuse this answer
Creative Commons License