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f(x)= (-5x^3 + 3x^2 + 3x -5)/(-8x^2 +2x + 7)

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

Does f(x) intersect its non-vertical asymptote? (yes or no)
If yes, what is the smallest value of x at which f(x) intersects its non-vertical asymptote?

1 answer

f(x) = 5x/8 - 7/32 + stuff/(-8x^2 +2x + 7)
the line y=5x/8 - 7/32 is the asymptote

graph crosses asymptote at x = -37/10
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