# Math Help - Inverse Functions

1. ## Inverse Functions

Let n be a non-zero integer. Find a domain on which f(x) = (1-x^n)^(1/n) coincides with its inverse. Hint: the answer depends on whether n is even or odd.

2. Originally Posted by uclabruins00
Let n be a non-zero integer. Find a domain on which f(x) = (1-x^n)^(1/n) coincides with its inverse. Hint: the answer depends on whether n is even or odd.
Notice that $f^{-1}(f(x)) = x$. So if f coincides with its inverse then $f(f(x)) = x$. Calculate f(f(x)) and see where that leads you.