To find: the inverse of the given function
Step 1: Substitute y=f(x). By solving this equation for x, we get
Step 2: Interchange the positions of x and y, we get y=2-x14.
The orange-colored graph represents the function f-1 while the blue-colored graph represents the function f.
First draw the line y=x and the graph of f. Then take the mirror image of f about the line y=x. You can observe from the given graph, that the graph of f and f-1 are symmetrical about the line y=x.
Conclusion: Thus, f-1x=2-x14