Students are asked to graph the inverse, f (x) of an absolute value function, f(x) after restricting its domain. The directions
also ask that the graph include a dashed line that can be used to verify that the functions are inverses of each other.
Which student's work is correct?

Please help!

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;

The following transformation will be used to calculate the coordinates of the inverse function

So, the coordinates of the inverse function are:

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:

link

Pick the one in which inverse is a reflection of f(x) in the line y = x

(a,b) on f(x) maps onto (b,a) on its inverse.

Also, the graph of inverse should begin at (1,0) and pass through (5,4)