If, a > 0 and n N, then prove that f[f(x)] = x for all x.

Given, where a > 0 and n N.


We need to prove that f[f(x)] = x.




[ (am)n = amn]






[ (am)n = amn]


f[f(x)] = x1


f[f(x)] = x


Thus, f[f(x)] = x for all x.


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