edited by
904 views
0 votes
0 votes

The set of all positive integers is the union of two disjoint subsets $\{f(1), f(2),\dots ,f(n),\dots\}$ and $\{g(1), g(2),\dots,g(n),\dots\},$ where $f(1) < f(2) <\dots < f(n) < \dots,$ and $g(1) < g(2) <\dots< g(n) < \dots,$ and $g(n) = f(f(n)) + 1$ for all $n \geq 1.$ What is the value of $g(1)?$

  1. Zero 
  2. Two
  3. One 
  4. Cannot be determined
edited by

Please log in or register to answer this question.

Related questions

0 votes
0 votes
0 answers
1
go_editor asked May 1, 2016
820 views
Answer the following question based on the information given below.For real numbers $x, y,$ let$f(x, y) = \left\{\begin{matrix} \text{Positive square-root of}\; (x + y),\...
0 votes
0 votes
0 answers
2
0 votes
0 votes
1 answer
3
0 votes
0 votes
0 answers
4
0 votes
0 votes
0 answers
5