Question and Answers Forum

All Questions      Topic List

Algebra Questions

Previous in All Question      Next in All Question      

Previous in Algebra      Next in Algebra      

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)=?

$${Generalization}\:{of}\:{Q}\:{No}\:\mathrm{1296} \\ $$$${f}\left({x}+{k}\right)=\left[\:{f}\left({x}\right)\:\right]^{{n}} \\ $$$${f}\left({x}\right)=? \\ $$

Answered by prakash jain last updated on 21/Jul/15

f(x)=a^n^(x/k)    f(x+k)=a^n^(x/k+1)  =(a^n^(x/k)  )^n =(f(x))^n

$${f}\left({x}\right)={a}^{{n}^{{x}/{k}} } \\ $$$${f}\left({x}+{k}\right)={a}^{{n}^{{x}/{k}+\mathrm{1}} } =\left({a}^{{n}^{{x}/{k}} } \right)^{{n}} =\left({f}\left({x}\right)\right)^{{n}} \\ $$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com