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inverse function
(redirected from Inverse functions)

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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.



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McKeague and Turner (both, Cuesta College) cover the usual introductory trigonometry topics: the six functions, right triangle trigonometry, radian measure, graphing and inverse functions, identities and formulas, equations, triangles, and complex numbers and polar coordinates.
The initial accuracy of performances on emergent relations tests, the initial degree of response transfer in postclass-formation transfer tests, preferences for one class member over others in post-class-formation within-class preference tests, the degree of class-consistent response transfer, and response rate in post-class-formation response transfer tests were all inverse functions of the nodal distance that separated the stimuli in an equivalence class.
are the inverse functions of the trigonometric functions.
 
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