Task

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.



Example

 compose(f, g) (x) = f(g(x))



Reference: Function composition

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




import extensions;
 
extension op : Func1
{
    compose(Func1 f)
        = (x => self(f(x)));
}
 
public program()
{
    var fg := (x => x + 1).compose:(x => x * x);
 
    console.printLine(fg(3))
}