$\"\"$

\

(a)

\

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

\

Domain of the function is all possible values of x.

\

Find the domain of $\"\"$ .

\

Since the function $\"\"$ is a radical function, the radicand should be greater than or equals to zero. \ \

\

$\"\"$

\

Thus, the domain of f is $\"\"$ .

\

\

Find the domain of $\"\"$ .

\

Since $\"\"$ is a polynomial function, the domain is all real values of x. \ \

\

\

Find $\"\"$ .

\

The composite function $\"\"$ .

\

$\"\"$ $\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

The function $\"\"$ .

\

Since the function $\"\"$ is a radical function, the radicand should be greater than or equals to zero. \ \

\

$\"\"$

\

Thus, the domain of $\"\"$ is $\"\"$ . $\"\"$

\

(b)

\

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

\

\

Find the composite function $\"\"$ .

\

$\"\"$ $\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

$\"\"$

\

\

Find the domain of $\"\"$ .

\

Since it is a linear equation, the domain is all possible values of x.

\

$\"\"$

\

(a) The composite function $\"\"$ and its domain is $\"\"$ .

\

(b) The composite function $\"\"$ and its domain is all possible values of x.