We define a function $f(x)$ such that $f(11)=34$, and if there exists an integer $a$ such that $f(a)=b$, then $f(b)$ is defined and $f(b)=3

We define a function f(x) such that f(11)=34, and if there exists an integer a such that f(a)=b, then f(b) is defined and f(b)=3b+1 if b is odd f(b)=b/2 if b is even

 

What is the smallest possible number of integers in the domain of f?