+0

# Need help with these 2 questions

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36
2

1.

2.

Guest Feb 8, 2018
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#1
+82916
+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
+82916
+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

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