Function Composition - Maple Programming Help

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Function Composition

Main Concept

Sometimes it is useful to apply one function, and then apply a second function to the result. For example, suppose fx=y and gy=z. First, f  takes the input value x and outputs y. Then, y is input into g which gives a new output, z. This idea can be used to create a new function, called the composition of g and f.

 

Let f and g be two functions. The composition of the functions g and f, written gf  ("g composed with f "), is defined by

 

gfx=gfx

 

The domain of the function gf  is the set of all numbers x in the domain of f for which fx is in the domain of g.

 

Input two functions f(x) and g(x) and plot their composition.

fx = 

gx=

fgx=

gfx=

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