composite function

American  

noun

Mathematics.

1. a function obtained from two given functions, where the range of one function is contained in the domain of the second function, by assigning to an element in the domain of the first function that element in the range of the second function whose inverse image is the image of the element.

---

Etymology

Origin of composite function

First recorded in 1960–65

Example Sentences

Using these operations on limits, we can find the limits of more complex functions by finding the limits of their simpler component functions.

From Textbooks • Dec. 1, 2021

Also, just as we can calculate the derivative of a vector- valued function by differentiating the component functions separately, we can calculate the antiderivative in the same manner.

From Textbooks • Mar. 30, 2016

To determine whether this function has any domain restrictions, consider the component functions separately.

From Textbooks • Mar. 30, 2016

Furthermore, F is continuous with differentiable component functions.

From Textbooks • Mar. 30, 2016

Since the indefinite integral of a vector-valued function involves indefinite integrals of the component functions, each of these component integrals contains an integration constant.

From Textbooks • Mar. 30, 2016