Answer
See below:
Work Step by Step
The graph of the equation passes through the point $\left( 0,-2 \right)$ , cuts the $x$ -axis at the point $\left( 2,0 \right)$ , and the inverse of the function is denoted as ${{f}^{-1}}$.
If there is a horizontal line in the graph that intersects the graph at more than 2 points, then the function is not a one-to-one and the inverse of the function does not exist.
But, for the given graph, any horizontal line drawn above the x-axis will intersects the graph at more than one point. Hence, it is not a one-to-one function and the inverse does not exist.
