$\"\"$

The function is $\"\"$ .

The denominator of g is zero when $\"\"$ .

So, the domain of g is all real numbers except $\"\"$ . $\"\"$

The domain of g is all real numbers except $\"\"$ .

$\"\"$

(a)

The function is $\"\"$ .

Domain of the function is all possible values of x.

Since $\"\"$ is a rational function, the denominator should not be the zero.

$\"\"$

Thus, the domain of the function is all possible values of x except 3.

$\"\"$

(b)

The function is $\"\"$ .

Find the y - intercept by substituting x = 0 in $\"\"$ .

$\"\"$

Thus, the y - intercept is $\"\"$ .

$\"\"$

(c)

The function is $\"\"$ .

Since the degree of the numerator is less than the degree of denominator, the line $\"\"$ is a horizontal asymptote.

Find the vertical asymptotes by equating the denominator to zero.

$\"\"$

$\"\"$ .

Thus, the line $\"\"$ is a vertical asymptotes of f(x) and the line $\"\"$ is a horizontal asymptotes of f(x).

$\"\"$

(d)

The function is $\"\"$ .

Draw a coordinate plane.

Graph the function $\"\"$ .

Graph :

$\"graph$

$\"\"$

(a)

The domain of the function is all possible values of x except 3.

(b)

The y - intercept is $\"\"$ .

(c)

Vertical asymptote : $\"\"$ .

Horizontal asymptote : $\"\"$ .

(d)

Graph of the function $\"\"$ is :

$\"graph$