# Thread: Discerning the domain of a function

1. ## Discerning the domain of a function

The problem I have is f(x) = (1 - x^2)^1/4, and am not entirely sure on how to approach this problem--so help would be much appreciated, thank you.

2. ## Re: Discerning the domain of a function

When determining the domain of elementary functions, there are three situations which you must avoid:

1. Taking the logarithm of a non-positive number.
2. Taking the square root (or even root) of a negative number.
3. Dividing by zero.

Which of these three might bear on your problem?

3. ## Re: Discerning the domain of a function

I presume the problem arises in there being an even root, is this correct?

4. ## Re: Discerning the domain of a function

Yep, find where $1 - x^2\geq 0$