Q21 of 23 Page 2

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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