Most recent change of Inverse

Edit made on February 28, 2009 by GuestEditor at 16:02:58

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The inverse of an element in a set with respect to a binary operation is that element that when combined with the element results in the identity element.

Consider a set A with a binary operation * with identity element e.

The inverse of an element a, denoted by a, is such that a * a = e.

The inverse of an integer x under addition is -x.

For example: The inverse of a function EQN:f(x) under the binary operation of composition of functions, denoted by EQN:f^-^1(x), is a function such that EQN:f(f^-^1(x))=x or EQN:f^-^1(f(x))=x


Enrichment Task

What is the inverse of a real numbers x (not 0) under multiplication?