# Thread:

1. ## functional equations

(i)If $f(x)$ is a polynomial function $f<img src=$0,\infty)\rightarrow(0,\infty)" alt="f0,\infty)\rightarrow(0,\infty)" />satisfies the equation $f(f(x))=6x-f(x)$then find $f(17)$

(ii)If $f(x)$ is a polynomial function satisfying the condition such that $f(x^2+1)=(f(x))^2+1$ and that $f(0)=0$ then find $f(34).$
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