Adjusted Composition
Algebra
Level
3
For \(x\ne-1\), consider a function \(f\) as described above for some constant \(\alpha\). What is the value of \( \alpha\) for which \(f(f(x)) \) is an identity function?
Clarification: \(g(x) \) is an identity function if \(g(x) = x\).
Image Credit: Flickr Eliana Lúcio.
by
Sandeep Bhardwaj