f of f

If f(x)=\frac{1-x}{1+x}, Then find f2010(x) =

here f2010(x) = fofof................2010 times.

4 Answers

62
Lokesh Verma ·

f(f(x)) = \frac{1-\frac{1-x}{1+x}}{1+\frac{1-x}{1+x}}=\frac{1+x-(1-x)}{1+x+(1-x)}=x

Hence the answer is simply x

1
Kaustab Sarkar ·

here fof is x

so how can we say fofofof...2010 is also x ?

and wat will then fofof.........2009 times be ???

plz tell sir [7]

106
Asish Mahapatra ·

feven(x) = x
fodd(x) = f(x)

Think how .. quite simple

1
Kaustab Sarkar ·

ya plz tell how ?

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