We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
216
1
avatar

State the vertical asymptote of the rational function. f(x) = quantity x minus four times quantity x plus nine divided by quantity x squared minus one x = 1, x = -1 None x = 4, x = -9 x = -4, x = 9

 Apr 19, 2018
edited by Guest  Apr 19, 2018
 #1
avatar+101322 
+2

I think we have this  :

 

(x - 4)  ( x + 9)                (x - 4)  ( x + 9)

___________      =        ___________

   x^2  - 1                        (x - 1) ( x + 1)

 

The numerator has no effect upon the vertical  asymptotes

 

We will have a vertical  asymptote when the denominator   = 0

 

Note that when  x  = 1    or  x  = -1......one of the factors in the denominator will =  0.......so  ....these are the vertical asymptotes

 

 

cool cool cool

 Apr 19, 2018

10 Online Users

avatar
avatar
avatar