I understand that given two functions(adsbygoogle = window.adsbygoogle || []).push({});

f:X→Y and g:Y→X, to say that f is the inverse function of g means

g o f:X→X is defined by g(f(x))=idx

and to say g is the inverse function of f means

f o g: Y→Y is defined by f(g(x))=idy

I understand how to find inverses of one variable functions and I'm able to apply this definition. However I'm having difficulty of finding examples of finding inverses of maps such as f:ℝ^2→ℝ^2 or something like f:ℝ^3→ℝ^3. Similarly I'm not sure if we can find inverses of functions with such mappings as f:ℝ^2→ℝ. Specific examples would highly be appreciated. Thanks.

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Finding Inverse the Function of multiple variable functions

**Physics Forums | Science Articles, Homework Help, Discussion**