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Category: Algebra

If-f-x-x-3-x-1-and-h-x-f-f-f-f-2022-times-f-x-then-h-1-

Question Number 142674 by Snail last updated on 03/Jun/21 Iff(x)=x3x+1andh(x)=f(f(f(f(..2022times(f(x))))))thenh(1)=? Answered by iloveisrael last updated on 04/Jun/21 f(f(x))=x3x+13x3x+1+1=x33x3x3+x+1$${f}\left({f}\left({x}\right)\right)=\:\frac{−\mathrm{2}{x}−\mathrm{6}}{\mathrm{2}{x}−\mathrm{2}}\:=\:\frac{−{x}−\mathrm{3}}{{x}−\mathrm{1}}={f}^{−\mathrm{1}} \left({x}\right)…