Composition of functions is a mathematical operation that combines two or more functions to create a new function. It involves using the output of one function as the input of another function.
Composition of functions is represented using the symbol "∘" which is read as "composed with". For example, if f and g are two functions, the composition of f and g is written as f ∘ g.
The order of composition of functions is important. When composing two functions f and g, the order in which they are composed matters. That is, f ∘ g is not equal to g ∘ f.
The domain of a composed function is the set of all possible input values that can be used for the innermost function. The range of a composed function is the set of all possible output values that can be obtained from the outermost function.
Composition of functions is used in various fields of science and technology, such as engineering, physics, and computer science. It is used to model complex systems and processes, and to solve real-world problems. For example, in computer science, composition of functions is used in programming to create new functions from existing ones.