Given $f(f(x))=x+2$ does it necessarily follow that $f(x)=x+1$? This question comes from a precalculus algebra student.
Given $f(f(x))$ can we find $f(x)$?
26
$\begingroup$
algebra-precalculus
functions
functional-equations
-
1Are you working with functions from $\mathbb R$ to $\mathbb R$? From $\mathbb Z$ to $\mathbb Z$? – 2012-11-06
-
0I am very impressed by the ingenuity of the answers. Many thanks. Perhaps I should add that the question was raised by a student of mine. – 2012-11-06