inverse function

American  

noun

Mathematics.

1. the function that replaces another function when the dependent and independent variables of the first function are interchanged for an appropriate set of values of the dependent variable. In y = sin x and x = arc sin y, the inverse function of sine is arc sine.

---

Etymology

Origin of inverse function

First recorded in 1810–20

Example Sentences

See Examples For:

inverse function

For a function to have an inverse function the function to create a new function that is one-to-one and would have an inverse function.

From Textbooks ● Dec. 1, 2021

The distance the car travels in miles is a function of time, in hours given by Find the inverse function by expressing the time of travel in terms of the distance traveled.

From Textbooks ● Sep. 23, 2020

When a function has no inverse function, it is possible to create a new function where that new function on a limited domain does have an inverse function.

From Textbooks ● Sep. 23, 2020

If we reverse the x and y in the function and then solve for y, we get our inverse function.

From Textbooks ● May 6, 2020

Thus, if one rotate the rod with one's own hand, one has the feeling that the backward movement of the bands is an inverse function of the increase in velocity of the rod.

From Harvard Psychological Studies, Volume 1 Containing Sixteen Experimental Investigations from the Harvard Psychological Laboratory. by Hugo Münsterberg