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.
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?