How do you perform a Legendre transform on a thermodynamic potential?

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Lairix
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Homework Statement


The problem is in the attached .PNG file.

Homework Equations


none

The Attempt at a Solution


I believe I am supposed to do a Legendre transform but have no idea where to begin...
 

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  • Homework#2.PNG
    Homework#2.PNG
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Haven't you seen how to go, for instance, from the internal energy U to the Gibbs free energy G?