$\"\"$

Observe the graph : \ \

The domains are $\"\"$ and $\"\"$ .

Consider the horizontal line $\"\"$ and $\"\"$ on the graph.

Horizontal line $\"\"$ and $\"\"$ touches the graph atmost once.

The function passes the horizontal test, hence the function is an one-to-one function.

Therefore the inverse of the function exist.

$\"\"$

The inverse of the function exist.