Function Composition - Maple Help
For the best experience, we recommend viewing online help using Google Chrome or Microsoft Edge.

Online Help

Function Composition

Main Concept

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

 

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

 

 

The domain of the function   is the set of all numbers  in the domain of  for which  is in the domain of .

 

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

More MathApps

MathApps/FunctionsAndRelations


Download Help Document