Education and Career Forum

What is the concept of composite function? Could you please explain that to me

Originally Posted by amlan.tarat

What is the concept of composite function? Could you please explain that to me

A composite function is a combination of two functions, where you apply the first function and get an answer, and then fill that answer into the second function.

The term "composition of functions" refers to the combining of functions in a manner where the output from one function becomes the input for the next function. In math terms, the range (the y-value answers) of one function becomes the domain (the x-values) of the next function.

The Notation used for Composition is -

(f o g) (x) = f(g(x))

And It is Read As - "f composed with g of x" or "f of g of x".

So, Composite function is a function whose argument is another function.
When you have the composite of three functions, no matter where you put the parenthesis, you get the same function.

And Composite functions problems are not hard. You just need to get used to notation.


And If You Want to get More Information Regarding Composite Function, then please check the given Attach file -

hi
A function whose value are found from two given functions
by applying one function to an independent variable then applying the second function
to the result and whose domain consist of those values of the independent variable
for which the result yielded by the first function
lies in the domain of the second.........

First use 1965.........

hi
A function whose value are found from two given functions
by applying one function to an independent variable then applying the second function
to the result and whose domain consist of those values of the independent variable
for which the result yielded by the first function
lies in the domain of the second.........