(a)

The functions are and .

Find the domain of .

Since it is a rational function, the denominator should not be the zero.

Thus, the domain of the function is all real numbers except 0 and 2.

The function is .

Since it is a linear function, the domain is all real numbers.

(b)

The function is .

Simplify the function.

Since the above function is a linear function, there is no vertical asymptote.

(c)

The functions are and .

Make the table :

\ x \	\ \
\ \	\ \
\  0 \	\ \	0
\  1 \	\ \	1
\ 1.5 \	\ \	1.5
2	\ \	2
2.5	\ \	2.5
3	\ \	3

(d)

Graph :

Draw a coordinate plane.

Graph the functions and in the same viewing window. \ \

Graph of the functions and is : \ \

(e)

Observe the above graph.

On a graphing utility, the graphs of f and g will look like the same.

Since there is a finite number of pixels that can be displayed.

There is no discontinuity of f at and .

(a)

The domain of the function is all real numbers except 0 and 2.

The domain of is all real numbers.

(b)

None.

(c)

Completed table is :

\ x \	\ \
\ \	\ \
\  0 \	\ \	0
\  1 \	\ \	1
\ 1.5 \	\ \	1.5
2	\ \	2
2.5	\ \	2.5
3	\ \	3

(d)

Graph :

(e)

On a graphing utility, the graphs of f and g will look like the same.

Since there is a finite number of pixels that can be displayed.

There is no discontinuity of f at and .