CAT Quant Practice Problems

Question: For a real number x, let

\(\begin{array}{l}{\rm{f}}\left( x \right) = \frac{1}{{1 + x}},{\rm{\;if \;}}x{\rm{\; is \;non - negative}}\\{\rm{ = 1 + }}x{\rm{\; if\; }}x{\rm{\; is\; negative}}\\{{\rm{f}}^n}\left( x \right) = {\rm{f}}\left( {{{\rm{f}}^{n - 1}}\left( x \right)} \right),n = 2,3,...\end{array}\)

If r is an integer ≥ 2.

Then what is the value of fr –1(–r) + fr(–r) + fr + 1(–r)?


  1. –1
  2. 0
  3. 1
  4. None of these

Correct Option:2

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CAT Quant Practice Problems
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