(a)

The functions are  and .

To verify that  and  are inverse functions, find  and .

Find .

Substitute the function  in function .

Find .

Substitute the function  in function .

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).

.