CAT Quant Practice Problems

Question: For a real number x, let

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

What is the value of the product f(2) f2(2) f3(2) f4(2) f5(2)?

\(\frac{1}{3}\)
3
\(\frac{1}{{18}}\)
None of these
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CAT Quant Practice Problems
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