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inverse function

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Inverse Function


Function that exactly reverses the transformation produced by a function f; it is usually written as f-1. For example, to find the inverse of a function y = 3x + 2, x is made the subject of the equation: 3x = y - 2, so x = (y - 2)/3. So 3x + 2 and (x - 2)/3 are mutually inverse functions. Multiplication and division are inverse operations (see reciprocals).

An inverse function is clearly demonstrated on a calculator by entering any number, pressing x2, then pressing √x to get the inverse. The functions on a scientific calculator can be inversed in a similar way.

© Research Machines plc 2008. All rights reserved. Helicon Publishing is a division of Research Machines plc.


 
 

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