#### To determine

a) **Given**:gx=1-x33.

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

#### Answer

Thus, g-1x=1-x33.

#### Explanation

**Step 1**: Substitute y=gx⇒ y=1-x33⇒ y3=1-x3 ⇒ x=1-y33.

**Step 2**: Interchange the positions of x and y. We get y=1-x33.

**Conclusion:** Thus, g-1x=1-x33.

**Note**: Functions g and g-1 are the same.

b) **Graphs:**

The blue-colored graph represents both the functions f and f-1. As you can see from the above figure, the given graph is symmetrical about the line y=x.