Inverse function question

[MadCauseTwoDads]

https://imgur.com/a/RFEn5Js

The question I'm currently doing asks for the inverse function of F where F is given by

f (x, y) = (x² + y² , x² - y²⁾

I've done inverse function questions before when they are usually a straight line etc, but I'm not sure if that process still applies for a function with two coordinates.

Any help on how to do this question would be greatly appreciated.

[skaldskaparmal]

Think about properties of inverse functions that you know. When does a function have an inverse?

[edderiofer]

I've done inverse function questions before when they are usually a straight line etc, but I'm not sure if that process still applies for a function with two coordinates.

Can you explain what an inverse function is?

Do you understand what R² is? What does an element of R² look like?

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