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Inverse function

If y = f(x) exactly when x = g(y), then we write g = f-1 and say that g is the inverse of f.

The domain of f is important here. The function f(x) = x2  does not have an inverse if we consider its domain to be all real numbers. It does have an inverse, namely $g(y)=\sqrt{y}$, if we consider its domain to be only the positive real numbers. The functions ex and ln y are inverses of each other.


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Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.

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