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.

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Etymology

Origin of inverse function

First recorded in 1810–20

Example Sentences

See Examples For:

inverse function

Determine the domain and range of an inverse function, and restrict the domain of a function to make it one-to-one.

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

In this section, we define an inverse function formally and state the necessary conditions for an inverse function to exist.

From Textbooks ● Mar. 30, 2016

The derivatives of the remaining inverse trigonometric functions may also be found by using the inverse function theorem.

From Textbooks ● Mar. 30, 2016

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 Münsterberg, Hugo