anonymous
  • anonymous
find the oblique asymptotes of f(x) = (9x-x^3)/(x^2-4). Is this oblique asymptote a linear or nonlinear asymptote
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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amistre64
  • amistre64
the bottom and top exponent differ by only one degree which means that this oblique is linear....
amistre64
  • amistre64
better put... that highest exponents on top and bottom only differ by one degree; so the oblique is a line
anonymous
  • anonymous
Can you explain how I could solve the equation

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amistre64
  • amistre64
solve it for the oblique you mean?
anonymous
  • anonymous
yes
amistre64
  • amistre64
long division: -x ------------ x^2 -4 |-x^3 +9x x^3 -4 --------- 9x -4 <- remainder the oblique takes the shape of: 9x-4 -x + ------ x^2-4 the left side part goes to zero is x gets large which means that y = -x+0 or simply y = -x is the equation of the line for your oblique asymptote
amistre64
  • amistre64
and by left side I mean right side.... Oy!!
anonymous
  • anonymous
Ok, let me study this for a second. thanks
amistre64
  • amistre64
your seconds up :)
amistre64
  • amistre64
as the bottom of a fraction gets very large: 1 ----------------------------- 1000000000000000000000000 the value of the fraction get very very very tiny and gets close to zero at the ends.
amistre64
  • amistre64
so anything with an "x" in the bottom gets thrown out and counted for zero
anonymous
  • anonymous
y = -x+0 would mark the end of the equation?

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