The graph that best represents the inverse of g is in option B
The equation of the transformation is y = -√(x - 2) + 1 and the graph is in option D
What is inverse function graph
The graph of an inverse function is obtained by reflecting the original function's graph across the line y = x.
To identify the graph we follow the information
The parent function: √x
Reflected over the x-axis: -√x
Shift, right 2 units: -√(x - 2)
Shift, up 1 unit: -√(x - 2) + 1
The equation of the transformation is y = -√(x - 2) + 1