playing with pure functions curried functions

Main.kt

fun main() {

    val addOne : (Int) -> Int = { it + 1 }
    val doubleStuff : (Int) -> Int = { it  * 2}
    val myFunc = composer(addOne, doubleStuff)
    println(myFunc(3))

    val add : (Int) -> (Int)-> Int= { a -> {b -> a + b}}
    val num = add(1)(2)
    println(num)

    // not a curried function
    val valCompose : ((Int) -> Int, (Int)-> Int) -> (Int) -> Int = { x,y -> {  x(y(it))} }
    println(valCompose(addOne, doubleStuff)(2))

    //pure function curried form
    val myCompose : ((Int) -> Int) -> ((Int) -> Int) -> (Int) -> Int = {  x -> { y -> { z -> x(y(z))}} }
    println("curried pure function")
    println(myCompose(addOne)(doubleStuff)(2))
}

fun composer(f :(Int) -> Int, g : (Int)-> Int) : (Int)-> Int {
    return { x -> f(g(x))}
}