Let f:[-1,∞)→[-1,∞) is given by f(x)=(x+1)2-1. Show that f is invertible. Also, find the set S= {x:f(x)=f-1(x)}

Let f: $[- 1, \infty) \to [- 1, \infty)$ is given by f(x)= $(x + 1)^{2} - 1$ . Show that f is invertible. Also, find the set S= ${x : f (x) = f^{- 1} (x)}$

Matching exercise

Match the items on the right to the items on the left.

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Step 8

Step 9

Step 10

Step 11

Step 12

Step 13

Step 14

Step 15

Step 16

Step 17

Step 18

Step 19

Step 20

Step 21

Step 22

Step 23

Step 24

Step 25

Step 26

Step 27

Step 28

Step 29

Step 30

Step 31