function of funtion

If f(x)= x + 1x, find fo(fof).

Answer: (x2 + 1)4 + 3x2 (x2 + 1)2 + x4 (x2 + 1)(x.x.x.x.x + 3x3 + x)

I know the method but could you just show me the manipulation please?

1 Answers

62
Lokesh Verma ·

If f(x)= x + 1/x = x2+1x

find fo(fof).

fof = (x2+1x)2+1x2+1x

fof = (x2+1)2+x2x(x2+1)

Now repeat

This is a dirty question I dont see any trick involved :(

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