#### To determine

**To find**: the inverse of the given function

#### Answer

Thus, f-1x=2-x14

#### Explanation

**Step 1**: Substitute y=f(x). By solving this equation for x, we get

y=2-x4

⇒ x=2-y14.

**Step 2**: Interchange the positions of x and y, we get y=2-x14.

Thus,f-1x=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