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Function of a function problem


I sort of assumed that Mathematica should readily solve function of
function equations like ...

Equn = { f [x_]  == f [ f [x] ] - 2 x }

Solve[Equn, f , x]

, but it does not. Is there a better some other way to code it? This
is  based on William Elliot's post in sci.math

http://groups.google.co.in/group/sci.math/browse_thread/thread/659ea3f0d1e0efc5?hl=en#

Narasimham



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