Function Question

http://tinypic(DOT)com/r/2zfintg/8

Please help explain me this question. If you have a problem with the picture please let me know. Thanks in advance!

f1 = 3
f
2 = 33 + 1 = 10 (note 3 is odd)
f3 = 10/2 = 5 (10 is even)
f
4 = 5
3 + 1 = 16
f_5 = 16/2 = 8.

Thanks so much @MITer94