Answer
The given function has no inverse function.
(refer to the step-by-step part for the explanation and graph)
Work Step by Step
Use a graphing utility to graph the given function.
(refer to the attached image below for the graph.
A number of horizontal lines (such as $y=-1$) pass through the graph at two points.
This means that the graph fails the horizontal line test, therefore the given function has no inverse function.