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The set of all positive integers is the union of 2 disjoint subsets {f(1),f(2),f(3),...}& {g(1),g(2),g(3),...}, where f(1)<f(2)<f(3)<.....& g(1)<g(2)<g(3)<......  g(n)=f(f(n))+1 for n = 1,2,3,......
What is the value of g(1)?


Options:
A .   3
B .   2
C .   1
D .   Indeterminate
E .   5222
Answer: Option B
:
B
f(x) is a set of all odd numbers and g(x) is a set of all even numbers. Thus, g(1) = f(f(1)) + 1 = 2.

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