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5A Composition of Functions

This applet shows the composition in two ways.
  1. Turn on boxes 1, 2 and 3 one at a time. These show the input for , the output of , the output of becoming the input for and the output from .
  2. Turn on . .
  3. For a given input, how is the output of related to the output of ?
  4. Explain how a composite function can be thought of as condensing multiple steps into a single step.