I need to sketch the graph of the inverse of:

I am given the graph of the above . . . The inverse that I got was

I apologize for not knowing how to make the cuberoot sign on here. I am not looking for an answer but how to solve it with only the picture of the graph of the original problem.

From the example problems it seems as if I am supposed to draw a diagonal line through the first and 3rd quadrants and mirror the graph?