The image you provided shows the graph of a function $h(x)$ and asks to create the graph of its inverse $h^{-1}(x)$.

Steps to find the graph of the inverse:

1. Reflection over the line $y = x$: The graph of the inverse function is a reflection of the original function $h(x)$ over the line $y = x$.

2. Exchange the coordinates: If a point $(a, b)$ lies on the graph of $h(x)$, then the point $(b, a)$ will be on the graph of $h^{-1}(x)$.

To create the graph of $h^{-1}(x)$:

• Identify the key points on the graph of $h(x)$.
• Swap the x- and y-coordinates for each key point to get corresponding points on the graph of the inverse.

Would you like a further explanation or the graphical creation of $h^{-1}(x)$ based on these principles? Feel free to share additional details for a more tailored solution.