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July 28, 2014

July 28, 2014

Posted by **UCI** on Sunday, March 11, 2012 at 2:31pm.

Find the equation of the non-vertical asymptote.

What is the smallest value of x at which f(x) intersects its non-vertical asymptote?

the non vertical asymptote is -1/3x + 13/9 i found that using synthetic division and i know there is an intersect its non-vertical asymptote but i dont know how to find it....

- CALC -
**bobpursley**, Sunday, March 11, 2012 at 2:56pmI agree on the asymptote.

So set the intercepts equal..

-x/3+ 13/9= (x^3-3x^2-3x-8)/(-3x^2-4x-6)

+x^3 +4x^2/3+2x-13/3 x^2 -52/9x-26/3=x^3-3x^2-3x-8

combining terms

x^2 (4/3-13/3+3) +x(2+3 -52/9)-26/3+8=0

check that several times. then use the quadratic equation to solve for x

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