Let and . In each of 42 and 43 a one-to-one corrspondence is defined by an arrow diagram. In each case draw an arrow diagrm for .
An arrow diagram for
A function F is said to be one-to-one function if, and only if, the distinct elements in its domain are mapped with the distinct elements in its co-domain.
A function is said to be onto function if, and only if, each element in its codomain is the image of at least one element in its domain.
is given by the arrow diagram:
Clearly, from the given figure, F is one-to-one and onto function.
So, its inverse function exists
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