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

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

Determine the domain and range of the inverse function.

From Textbooks • May 6, 2020

Note that the natural logarithm is one-to-one and therefore has an inverse function.

From Textbooks • Mar. 30, 2016

However, if p or q are irrational, we must apply the inverse function definition of ex and verify the properties.

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