Inverse of function of several variables?

Question

Hi, was wondering how you could find the inverse of

x(t)= ( 2t / (1+t^2) , (t^2-1) / (1+t^2) ) and what is it.

Cheers

Answer 1

This is not so simple. take a look at http://mathworld.wolfram.com/InverseFunctionTheorem.html

Also, look for Implicit Function Theorem