Find all functions $f:Q \rightarrow Q$ such that
\[f(1)=2\]
and
\[f(xy)=f(x)f(y)−f(x+y)+1\]
f(x)=?
- Thamim Zahin
- Posts:98
- Joined:Wed Aug 03, 2016 5:42 pm
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Re: f(x)=?
This can be solved by the basic arguments used to solve Cauchy's FE over Q. Try it yourself!
Hint if you're extremely desperate:
Hint if you're extremely desperate: