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Composition of Functions

Complicated functions can be built from simple functions by using the process of composition where the output of one function becomes the input of another. It is also sometimes necessary to carry out the reverse process decomposing a complicated function into two or more simple functions. After reading this text you should be able to: write down both the composite functions gf and fg given two suitable functions f and g; write a complicated function as a composition gf; determine whether two given functions f and g are suitable for composition; find the domain and range of a composite function gf given the functions f and g.

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