# inverse function

## inverse function

noun Mathematics.
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 sin is arc sine.

Origin:
1810–20

Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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WordNet
 inverse function noun a function obtained by expressing the dependent variable of one function as the independent variable of another; f and g are inverse functions if f(x)=y and g(y)=x
WordNet® 3.0, © 2006 by Princeton University.
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Example sentences
Inverse function and implicit function theorems are proved.
Generally, the duration of the reproductive cycle and the size of liters is an inverse function of individual size.
The inverse function concept is best understood by students when it is presented in a familiar, real-world context.
Their results show the total time of burning of the belting is an inverse function of the air velocity.
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