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
192
1
avatar+956 

Let f(x) be a polynomial of degree 3 and f(c) = 0. Let g(x) be a polynomial of degree 2 and g(c) ≠ 0. What type of asymptote is located at x = c for g(x)/f(x)

 

a) Horizontal Asymptote 

b) Vertical Asymptote 

c) Oblique Asymptote 

d) none 

 Apr 11, 2018
 #1
avatar+100571 
+2

We will have a vertical asymptote

 

See an example here:  https://www.desmos.com/calculator/38rlm9mnnw

 

g (x)  = 2x^2 -1

f(x)  = x^3

 

g(0)  = 2(0)^2 -  1   =  -1

f(0) = (0)^3  =  0

 

Note...that at  x  = c  =  0......we have the vertical asymptote  x  =  0

 

 

cool cool cool

 Apr 11, 2018

8 Online Users