The inverse of a graph is done by swapping the x and y coordinates.
The graph that illustrates the inverse of f(x) is graph d
From the graph of f(x), we have the following points;
[tex](x,y) = \{(0,1), (1,2), (2,3),(3,4).....\}[/tex]
The following transformation will be used to calculate the coordinates of the inverse function
[tex](x,y) \to (y,x)[/tex]
So, the coordinates of the inverse function are:
[tex](x,y) = \{(1,0), (2,1), (3,2),(4,3).....\}[/tex]
Hence, the graph that illustrates the inverse of f(x) is graph d
See attachment for the graph of the inverse function.
Read more about inverse graphs at:
https://brainly.com/question/11033643