Find all functions f: Z -> Z such that f(a + b) = f(a) f(b) + f(b) for all a,b, and f(1) = k-1, where k is some integer greater than 1?
2 Answers
Jun 1, 2017
Explanation:
For
Making
but
Jun 9, 2017
No solution exists
Explanation:
Since
Since
This means that
In addition, in
Since
But we just said that
Thus, no solution exists.