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Ingy döt Net 2013-04-11 12:07:39 -07:00
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Create a function, <span style="font-family:serif">compose</span>, whose two arguments <span style="font-family:serif">''f''</span> and <span style="font-family:serif">''g''</span>, are both functions with one argument. The result of <span style="font-family:serif">compose</span> is to be a function of one argument, (lets call the argument <span style="font-family:serif">''x''</span>), which works like applying function <span style="font-family:serif">''f''</span> to the result of applying function <span style="font-family:serif">''g''</span> to <span style="font-family:serif">''x''</span>, i.e,
: <span style="font-family:serif">compose(''f'', ''g'') (''x'') = ''f''(''g''(''x''))</span>
Reference: [[wp:Function composition (computer science)|Function composition]]
Hint: In some languages, implementing <span style="font-family:serif">compose</span> correctly requires creating a [[wp:Closure (computer science)|closure]].