Problem Statement

Create a function, compose,   whose two arguments   f   and   g,   are both functions with one argument.

The result of compose is to be a function of one argument, (lets call the argument   x),   which works like applying function   f   to the result of applying function   g   to   x.

Reference: Function composition Hint: In some languages, implementing compose correctly requires creating a closure.

Let's start with the solution:

using System;
using System.Console;
using System.Math;

module Composition
{
    Compose[T](f : T -> T, g : T -> T, x : T) : T
    {
        f(g(x))
    }
    
    Main() : void
    {
        def SinAsin = Compose(Sin, Asin, _);
        WriteLine(SinAsin(0.5));
    }
}