(a)

The function is .

Domain of the function is all possible values of x.

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

Thus, the domain of the function is all real values of x except 1.

(b)

The function is .

Make the table 1 : \ \

Make the table 2 : \ \

Make the table 3 : \ \

Make the table 4 :

(c)

The function is .

The domain of the function is all real values of x except 1.

Observe the tables :

As x approaches to 1 from the left, f(x) decreases without any bound.

In contrast, as x approaches to 1 from the right, f(x) increases without any bound.

The behavior of f near x = 1 is .

(a)

The domain of the function is all real values of x except 1.

(b)

The tables are :

Table 1 : \ \

Table 2 : \ \

Table 3 : \ \

Table 4 :

(c)

The behavior of f near x = 1 is .