(a)

The functions are  and .

The domain and range of the both  and  consist of all real numbers, can conclude that both composite functions eixst for all .

To verify that  and  are inverse functions, find  and .

Find .

.

Find .

.

Since , the functions  and  are inverse functions.

(b).

Graph the functions  and  on the same window.

(1). Draw the coordinate plane.

(2). Graph the functions.

Graph :

Observe the graph,

The functions  and  are syymmetrical about the line .

So, graphically  and  are inverse functions.

(a).

 and .

(b).

.