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 atmost once.

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

Therefore the inverse of the function is exist.

The inverse of the function is exist.