Question: If ( g composition f ) ^ -1 = ( f^-1 composition g^-1 ) What can you conclude about f and g? Are they both

If ( g composition f ) ^ -1 = ( f^-1 composition g^-1 ) What can you conclude about f and g? Are they both injective? Please do a full mathematical proof step by step and I would really appreciate if you write clearly. Thank you!

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