$\"\"$

Let us consider the function $\"\"$ has two inverses $\"\"$ and $\"\"$ .

If the graph of $\"\"$ contains the point $\"\"$ .

Then the graphs of the inverse functions $\"\"$ and $\"\"$ will contain the points $\"\"$ .

$\"\"$

Therefore, the inverse of $\"\"$ is unique.

$\"\"$

The statement is proved.