$\"\"$

(a)

The function $\"\"$ .

Rewrite the function as $\"\"$ .

Interchange x and y.

$\"\"$

Solve for y.

$\"\"$

Replace y by $\"\"$ .

$\"\"$ .

The inverse function of f is $\"\"$ . $\"\"$

(b)

The function $\"\"$ and its inverse function $\"\"$ .

Graph :

1. Draw a coordinate plane.

2. graph the functions $\"\"$ and $\"\"$ on the same set of coordinate axis. $\"graph$

$\"\"$

(c)

Graph :

1. Draw a coordinate plane.

2. graph the functions $\"\"$ , $\"\"$ , and $\"\"$ on the same set of coordinate axis.

$\"graph$

Observe the above graph :

The functions f and g have the reflection property.

The graph of $\"\"$ is the reflection of the graph of " $\"\"$ " in the line $\"\"$ . $\"\"$

(d)

Domain of function $\"\"$ is the range of $\"\"$ .

Range of $\"\"$ is the domain of $\"\"$ .

Thus,

The domain and range of $\"\"$ is all real numbers of x.

$\"\"$

(a)

Inverse function is $\"\"$ .

(b)

Graph :

$\"graph$

(c)

The graph of $\"\"$ is the reflection of the graph of " $\"\"$ " in the line $\"\"$ .

(d)

The domain and range of $\"\"$ is all real numbers of x.