Posted by Brit on Thursday, July 21, 2011 at 7:56pm.
f(x)=(6x^3–9x^2–3x–1)/(4x^2+7x–3)
.
Find the equation of the nonvertical asymptote.
y = ____3x/2  39/8_____
Does f(x) intersect its nonvertical asymptote? (yes or no) ___YES____
What is the smallest value of x at which f(x) intersects its nonvertical asymptote? ____?____???

CALCULUS!  Reiny, Thursday, July 21, 2011 at 11:01pm
I did almost the same question here
http://www.jiskha.com/display.cgi?id=1311223818
follow the procedure shown in this problem
(I had y = (3/2)x + 9/2 as the nonvertical asymptote
The long division is messy with awful fractions)
Since the denominator cannot be zero, the function cannot have any vertical asymptotes, so it is continuous. Thus the graph will stay on one side of the asymptote and never cross y = (3/2)x + 9/2

CALCULUS!  Brit, Thursday, July 21, 2011 at 11:39pm
I understood the first two questions and got them right. But can't get the last.... "What is the smallest value of x at which f(x) intersects its nonvertical asymptote? ___?"
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