Question

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 $f\left(1\right)<f\left(2\right)<f\left(3\right)<.....\&g\left(1\right)<g\left(2\right)<g\left(3\right)<......g\left(n\right)=f\left(f\right(n\left)\right)+1$ for n = 1,2,3,......
What is the value of g(1)?

• A. 7
• B. 6
• C. 8
• D. 5

Answer 1

The correct option is B

6

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.