Let, f:Z-->Z be a function defined by:- f(s)= as + b , for certain integers a and b. Then, for what values of a and b, f○f will be anidentity map?

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- Oct 18th 2010, 07:47 AMSambitFunction problem.
Let, f:Z-->Z be a function defined by:- f(s)= as + b , for certain integers a and b. Then, for what values of a and b, f○f will be an

__identity map__? - Oct 18th 2010, 08:07 AMNOX Andrew
I read the Wikipedia article on identity functions (assuming identity map and identity function are synonymous) and believe I can help.

is an identity function if . Therefore, is an identity function if .

Solve the equation for and .