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Aleksandr-060686 [28]
3 years ago
13

Consider the function f(x)=(x-9)/(x^3-81x) Find the vertical asymptote(s) of f(x)

Mathematics
2 answers:
enyata [817]3 years ago
4 0
Well, here's a harder one
Basically, to find a vertical asymptote, we set the denominator to 0. Like this:
x^3 - 81x = 0
Then we solve for x.
x(x^2 - 81) = 0
x(x+9)(x-9) = 0
x = 0, 9, -9
There are vertical asymptotes at x = 0, x = 9, and x = -9.

never [62]3 years ago
3 0

Answer:

x = 0, –9

Step-by-step explanation:

the vertical asymptote(s) of f(x) are x = 0, –9. Answer A on Edge.

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