+0  
 
0
60
2
avatar

1. 

2. 

Guest Feb 8, 2018
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2+0 Answers

 #1
avatar+85958 
+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)

 

 

cool cool cool

CPhill  Feb 9, 2018
 #2
avatar+85958 
+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 

 

 

cool cool cool

CPhill  Feb 9, 2018

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