Hayhayz
  • Hayhayz
Identify the oblique asymptote of f(x) = quantity x plus 4 over quantity 3 x squared plus 5 x minus 2.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Hayhayz
  • Hayhayz
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superdavesuper
  • superdavesuper
\[f(x) = \frac{ x+4 }{ 3x ^{2}+5x-2 }\] is that f(x)?
Hayhayz
  • Hayhayz
yes

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superdavesuper
  • superdavesuper
do u know wats an oblique asymptote?
mathmale
  • mathmale
If that's the rational function in question, then there's no oblique asymptote. "Slant asymptote" is another name frequently seen.
mathmale
  • mathmale
Why not first try to find the horiz. asy. and then the vertical asymptotes? How many vert. asymptotes do you think there are, and why?
mathmale
  • mathmale
sorry, but I need to leave. Good luck!
Hayhayz
  • Hayhayz
im a little confused o.o
Hayhayz
  • Hayhayz
do you have to divide the numerator by the denominator?
Hayhayz
  • Hayhayz
@dan815
Hayhayz
  • Hayhayz
@pooja195
dan815
  • dan815
|dw:1449263531936:dw|
mathmale
  • mathmale
Slant asymptote: none. If dividing 3x^2+5x-2 into x+4 produced a quotient beginning with x (it does NOT), then you'd have a slant asymptote. NOT here. Vertical asymptotes: Set the denominator alone to 0 and solve for the two roots. Write them as x=a and x=b. These are your vertical asymptotes. Horiz. asymptote: Determine what happens to this rational frunction when x grows very large without bound. Since the denominator has a greater power of x in it than does the numerator, the limiting value of this function as x goes to infinity is zero. How would you go about writing this in math tderms?

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