Q. 105.0( 3 Votes )

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

Answer :

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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