Inverse function: Difference between revisions
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imported>Doug Williamson m (Spacing 22/8/13) |
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A mathematical function which reverses another function. | A mathematical function which reverses another function. | ||
For example the square root function x<sup>(1/2)</sup> is the inverse function of the square function x<sup>2</sup>. | For example the square root function x<sup>(1/2)</sup> is the inverse function of the square function x<sup>2</sup>. | ||
Another example is the Natural logarithm (log to the base 'e') which is the inverse function of the exponential function e<sup>x</sup>. | Another example is the Natural logarithm (log to the base 'e') which is the inverse function of the exponential function e<sup>x</sup>. | ||
2. | 2. | ||
The function 1/x, also written x<sup>-1</sup>. | The function 1/x, also written x<sup>-1</sup>. | ||
(As it happens, the inverse function of 1/x - in the first sense above - is itself, namely 1/x.) | (As it happens, the inverse function of 1/x - in the first sense above - is itself, namely 1/x.) | ||
== See also == | == See also == | ||
* [[Exponential function]] | * [[Exponential function]] | ||
* [[Natural logarithm]] | * [[Natural logarithm]] | ||
Revision as of 14:13, 22 August 2013
1.
A mathematical function which reverses another function.
For example the square root function x(1/2) is the inverse function of the square function x2.
Another example is the Natural logarithm (log to the base 'e') which is the inverse function of the exponential function ex.
2.
The function 1/x, also written x-1.
(As it happens, the inverse function of 1/x - in the first sense above - is itself, namely 1/x.)
