Question Number 1302 by Rasheed Ahmad last updated on 20/Jul/15
![Generalization of Q No 1296 f(x+k)=[ f(x) ]^n f(x)=?](https://www.tinkutara.com/question/Q1302.png)
$${Generalization}\:{of}\:{Q}\:{No}\:\mathrm{1296} \\ $$$${f}\left({x}+{k}\right)=\left[\:{f}\left({x}\right)\:\right]^{{n}} \\ $$$${f}\left({x}\right)=? \\ $$
Answered by prakash jain last updated on 21/Jul/15
$${f}\left({x}\right)={a}^{{n}^{{x}/{k}} } \\ $$$${f}\left({x}+{k}\right)={a}^{{n}^{{x}/{k}+\mathrm{1}} } =\left({a}^{{n}^{{x}/{k}} } \right)^{{n}} =\left({f}\left({x}\right)\right)^{{n}} \\ $$