A function is called a one-to-one function if it satisfies
The above condition becomes equivalent to the following:
always implies .''
When a function is a one-to-one function,
the inverse function can be defined as the function
We denote the inverse function of by the symbol .
if and only if
Domain of .
If is a one-to-one function from the domain to the range ,
then the inverse function becomes a one-to-one function
from the domain to the range .
Department of Mathematics
Last modified: 2005-09-29