The function is .

Horizontal line test:

A function has an inverse if and only if no horizontal line intersects its graph of the function in at most one point.

Graph :

Graph  the function .

Draw the horizontal line .

Observe the graph:

The horizontal line touches the graph of the function exactly at one point.

The function is an one-to-one, because it passes the horizontal line test.

Therefore, the inverse of the function exists.

Yes, the inverse of the function exists.