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 not an 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.