Answer
The function has no inverse.
(refer to the step-by-step part below for the explanation and the 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.