i am allow to use calculators for these question, this is the test review

Question

Answer 1

27) The function

We know that all possible values of x  is domain of a function.

A rational function is simply fraction and in a fraction the denominator cannot be equal to 0 because it would be undefined.

To find which number make the fraction undefined create an equation where the denominator is not equal to zero.

So the domain of the function all real numbers except 1 and - 2.

Domain set is .

Answer 2

28) The function

Vertical asymptote can be found by making denominator = 0.

x² + 9 = 0

x² = - 9

x = ± 3i

There is no vertical asymptotes.

To find horizontal asymptote, first find the degree of the numarator and  the degree of denominator.

Degree of the numarator =1 and the degree of denominator = 2.

Since the degree of the numerator is less than the degree of the denominator, the line

y = 0 (x - axis) is the horizontal asymptote.