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