perplexus.info :: Just Math : Quadratic and Cubic Query

Quadratic and Cubic Query (Posted on 2015-11-14)

Consider functions f:R → R and g:R → R.

Can f and g satisfy this system of simultaneous relationships:
f(g(x)) = x² and, g(f(x)) = x³

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No Solution Yet Submitted by K Sengupta

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