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f-f-x-f-2-x-What-is-a-solution-




Question Number 12885 by FilupS last updated on 05/May/17
f(f(x))=f^2 (x)     What is a solution?
$${f}\left({f}\left({x}\right)\right)={f}^{\mathrm{2}} \left({x}\right) \\ $$$$\: \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{a}\:\mathrm{solution}? \\ $$
Answered by mrW1 last updated on 05/May/17
u=f(x)  ⇒f(u)=u^2   ⇒f(x)=x^2
$${u}={f}\left({x}\right) \\ $$$$\Rightarrow{f}\left({u}\right)={u}^{\mathrm{2}} \\ $$$$\Rightarrow{f}\left({x}\right)={x}^{\mathrm{2}} \\ $$

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