#1**+1 **

1.

The domain includes all real numbers except x = 0 [ this value makes the denominator = 0 ]

So......

Domain = (- inf, 0 ) U (0, inf)

For the range....we have a lower power polynomial over a higher power polynomial.....when this is the case, we will have a horizontal asymptote at y =0

So,the range is the same as the domain (-inf, 0) U ( 0, inf)

CPhill
Feb 9, 2018

#2**+1 **

2.

The function will have a vertical asymptote at x = 2 ....this value makes the denominator of the first fraction 0

Looking at the first fraction, we have a lower power polynomial over a higher power poynomial....this would give us a horizontal asymptote at y = 0....however, the " + 9 " actually shifts this up 9 units

So....the asymptotes are

x = 2 and y = 9

CPhill
Feb 9, 2018