$\"\"$

\

(a).

\

The functions are $\"\"$ and $\"\"$ .

\

The domain of $\"\"$ is $\"\"$ .

\

Range of $\"\"$ is $\"\"$ .

\

The domain of $\"\"$ is $\"\"$ .

\

The range of $\"\"$ is $\"\"$ .

\

$\"\"$

\

(b).

\

Graph:

\

Graph of $\"\"$ is :

\

$\"\"$

\

\

$\"\"$

\

Graph:

\

Graph of $\"\"$ is :

\

$\"\"$

\

$\"\"$

\

(c).

\

If the function passes the horizontal line test,then the function is an one- to-one functions.

\

Therefore inverse of the function exist.

\

Without restircting the domain of the functions doest not passes the horizontal line test.

\

The domain restirction is necessary for secant and cosecant functions for graphing the inverse functions.

\

$\"\"$

\

(a).

\

The domain of $\"\"$ is $\"\"$ .

\

Range of $\"\"$ is $\"\"$ .

\

The domain of $\"\"$ is $\"\"$ .

\

The range of $\"\"$ is $\"\"$ .

\

(b).

\

$\"\"$

\

$\"\"$