# calc

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f(x)=[5x^3-4x^2-8x+9]/[2x^2-1x-3]

Find the equation of the non-vertical asymptote.
y =

Does f(x) intersect its non-vertical asymptote? (yes or no)

What is the smallest value of x at which f(x) intersects its non-vertical asymptote? ( Enter No in the question blank if you answered no above.)

I got the answer to the first two parts, y=2.5x-.75 and yes. But i don't know how to figure out the last part of the question. Please help :)

• calc -

For Part 3, It would be a question of finding the intersection between the function
f(x) and the oblique asymptote g(x)=5x/2-3/4.
If there is a solution, look for the smallest value of the zeroes.
I found only one at x=27/5.

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