Parity of inverse function of even function? I know that the inverse of an odd function is an odd function. What about the inverse of an even function? Is it "even function" or "not necessarily even function" or "not necessarily even function"?

Parity of inverse function of even function? I know that the inverse of an odd function is an odd function. What about the inverse of an even function? Is it "even function" or "not necessarily even function" or "not necessarily even function"?


If a function has an inverse function, it must be mapped one by one
A value of F (x) of even function maps two values of X, so it is not a one-to-one mapping