The graph of the equation is given below:
The curve intersects the x-axis only once. So, by the vertical line test, the curve is a function.
Now, find the inverse of the given function by interchanging x and y, then solving for y:
[tex]\begin{gathered} x-\frac{5}{8}=-y \\ \Rightarrow-x+\frac{5}{8}=y \end{gathered}[/tex]The graph of the inverse is given below:
Since the curve intersects the x-axis only once. Therefore, the inverse is also a function.
