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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 

Julius  Apr 11, 2018
 #1
avatar+92367 
+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

CPhill  Apr 11, 2018

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