http://www.ck12.org Chapter 1. Functions and Graphs
1.11 Function Composition
Here you will learn a new type of transformation called composition. Composing functions means having one
function inside the argument of another function. This creates a brand new function that may not look like a regular
transformation of any of the basic functions.
Functions can be added, subtracted, multiplied and divided creating new functions and graphs that are complicated
combinations of the various original functions. One important way to transform functions is through function
composition. Function composition allows you to line up two or more functions that act on an input in tandem.
Is function composition essentially the same as multiplying the two functions together?
Watch This
MEDIA
Click image to the left for use the URL below.
URL: http://www.ck12.org/flx/render/embeddedobject/57958http://www.youtube.com/watch?v=qxBmISCJSME James Sousa: Composite Functions
Guidance
A common way to describe functions is a mapping from the domain space to the range space:
Function composition means that you have two or more functions and the range of the first function becomes the
domain of the second function.