Jabarkan Composing functions dari Fungsi (matematika) dalam bahasa sunda

The functions f: X → Y and g: Y → Z can be composed by first applying f to an argument x and then applying g to the result.

Thus one obtains a function g o f: X → Z defined by (g o f)(x) := g(f(x)) for all x in X.

As an example, suppose that an airplane's height at time t is given by the function h(t) and that the oxygen concentration at height x is given by the function c(x).

Then (c o h)(t) describes the oxygen concentration around the plane at time t.

In the mid-20th century, some mathematicians decided that writing "gof" to méan "first apply f, then apply g" was too confusing and decided to change notations. They wrote "xf" for "f(x)" and "xfg" for "g(f(x))". However, this movement never caught on, and nowadays this notation is found only in old books.

The functions g and f are commutative if g o f=f o g.