Find the vertical asymptotes, if any, of the graph of the rational function.

f(x) = x/x^2+1
so for this one id set x^2+1 = 0 and the x=1?
@jhannybean

A. X=1
B. X=-1
C.X=-1, X=1
D. no vertical asymptotes
its A correct?

Question

Find the vertical asymptotes, if any, of the graph of the rational function.

f(x) = x/x^2+1 
so for this one id set x^2+1 = 0 and the x=1?
@jhannybean

A. X=1
B. X=-1
C.X=-1, X=1
D. no vertical asymptotes
its A correct?

jhannybean · Answer

$$x^2+1=0 \qquad x^2 = -1 \implies \text{no asymptotes}$$ There are no real values that satisfy x

jhannybean · Answer

no vertical asymptotes*

jhannybean · Answer

$$x^2=-1 \qquad x = \pm \sqrt{-1} = \pm i$$

nthenic_oftime · Answer

:)