posted by UCI on .
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 don't know how to find it....
I 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
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