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2016 Update

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Tina Müller 2016-12-05 22:15:40 +01:00
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Task/Function-composition/00DESCRIPTION
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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>
;Task:
Create a function, <span style="font-family:serif">compose</span>, &nbsp; whose two arguments &nbsp; <span style="font-family:serif">''f''</span> &nbsp; and &nbsp; <span style="font-family:serif">''g''</span>, &nbsp; 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 &nbsp; <span style="font-family:serif">''x''</span>), &nbsp; which works like applying function &nbsp; <span style="font-family:serif"> ''f'' </span> &nbsp; to the result of applying function &nbsp; <span style="font-family:serif"> ''g'' </span> &nbsp; to &nbsp; <span style="font-family:serif"> ''x''</span>.
;Example:
<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]].
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