g is a function possessing the domain and range of the positive integers satisfying:
(1) g(p+1) > g(p);
(2) g(g(p)) = 3p
Analytically determine all possible values that g(955) can take.
However, note from property 1 that g is bijective: g has an inverse. (Because if for some that would imply that is false.) And note also from 1 that . Thus from 2 we have that
(Actually the only p for which g(p) = p is p = 0, so really we have that .)