Function Composition

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The applet below illustrates function composition. The first graph is f(x), the "inner" function, and the second graph is g(x), the "outer" function. The final graph shows the composition g(f(x). Note the following:

• The input of f (the red segment) is the same as the input of the composition.
• The output of f (the green segment) is the input of g.
• The output of g (the blue segment) is the output of the composition.
• You can move the input (the red dot) around with your mouse to see how changing the input of f will change the output of the composition.

Enter your own functions for f and g to see how they compose.

FunctionComposition applet written by David Eck (http://math.hws.edu/javamath/index.html)

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