Question: Let f 0 ( x ) = 1 1 - x and f n 1 ( x ) = ( f 0 @ f n

Let f0(x)=11-x and fn1(x)=(f0@fn)(x) for n=0,1,2,dots Find f1,000(x).
Try to recognize a pattern. First find f1(x),f2(x),f3(x),f4(x),dots, simplify, and find a pattern.
f1,000(x)=
Let f 0 ( x ) = 1 1 - x and f n 1 ( x ) = ( f 0 @

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