#### To determine

a) **Given**: fx=1-x2, 0≤x≤1.

**To find** : Formula for f-1.

#### Answer

Hence f=f-1.

#### Explanation

**Step 1**: Substitute y=f(x), we get

y=1-x2

⇒ x=1-y2.

**Step 2**: Interchange the positions of x and y, we get y=1-x2 . Thus f-1x=1-x2.

**Conclusion:** Hence f=f-1.

b)

**Explanation for graph of** f-1: Since f and f-1 are identical, the graphs for f and f-1 are identical about the line y=x (black-coloured graph) and the blue-coloured graph represents f and f-1.