Question

f(x)=(6x^3–9x^2–3x–1)/(4x^2+7x–3)
.

Find the equation of the non-vertical asymptote.
y = ____3x/2 - 39/8_____

Does f(x) intersect its non-vertical asymptote? (yes or no) ___YES____
What is the smallest value of x at which f(x) intersects its non-vertical asymptote? ____?____???

Answer 1

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 non-vertical 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

Answer 2

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 non-vertical asymptote? ___?"