The function is .

Horizontal line test :

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

Graph :

Graph the function .

Draw the horizontal line .

Observe the graph:

The horizontal line touches the graph of the function more than once.

The function is an not one-to-one, because it does not passes the horizontal line test.

Therefore the inverse of the function does not exist.

No, the inverse of the function does not exist.