The functions are and .

(a)

Verify that and are inverse function.

Two function are said to inverse function if and if .

Consider .

.

Consider .

.

As , and are inverse functions.

(b)

Graph :

Graph the functions and .

Observe the graph,

The two functions are symmetrical about the line .

and are inverse functions.

(a) and are inverse functions.

(b) Graph of the functions is

The two functions are symmetrical with respect to the line .