Posted by brian on Wednesday, September 27, 2006 at 6:12pm.
find the HAs of
y = (x-9) / sqr(4x^2 + 3x+ 2)
What happens to y as x goes to +/- infinity? Specifically, is y approaching some limit from above or below?
??
I see your question was to just find the horizontal asymptotes and not to evaluate the function's approach to them.
The denominator has no real zeroes, so it's always positive. For large x the denominator behaves like |x| and the numerator is just x. The limits that need to be checked are
lim x-> +/-infinity x/|x|
Does that help?
so
sqr(4x^2 + 3x +2) is equivalent to |x|
Check that, it for large x it behaves like 2|x| -I missed the 4.
thx
Hi! Very nice site! Thanks you very much! icrhwzfhzlfwq
Hi! Very nice site! Thanks you very much! iijobeoaedbzsf
Hi! Very nice site! Thanks you very much! dkpmqnxhjzqtl
Hi! Very nice site! Thanks you very much! qvkikrrzfynqex
Hi! Very nice site! Thanks you very much! vbuapbtdzqnmw
Hi! Very nice site! Thanks you very much! kadtdyzvvg
Hi! Very nice site! Thanks you very much! nktretuacodaak
Hello! Good Site! Thanks you! ckqxvexnifvssr
Hello! Good Site! Thanks you! bcoivhwhmwwuo
Hello! Good Site! Thanks you! pyawpsbbmxj
Hello! Good Site! Thanks you! shakglvmiu
Hello! Good Site! Thanks you! trgvumcvsstjv
No one has answered this question yet.
Answer this Question
Related Questions
Calculus - Check my work please? Determine if f(x)= (x^2-3x+2)/(1+x^2) has a ...
Math - asymptotes - Identify all asymptotes. 1. y= 1 / 2-√x^2 - 3x the...
calculus - If f has domain [0, infinity) and has no horizontal asymptotes, then ...
Calculus - what happens when the limit goes to infinity 4x-6sqrt(x)
math - Hi, I have a math question that I need help with: g:-> 3(1.3)^x ...
math,bobpursly, - 4x-2x^2+4x^3 from 4x^3+x-3x^2 4x^3+x-3x^2 -( 4x-2x^2+4x^3) ...
Math - Find the quotient function f/g for f(x)=sqr(x+1) and g(x)= sqr( x-1). My...
Math - Find the quotient function f/g for f(x)=sqr(x+1) and g(x)= sqr( x-1). My ...
Calculus - Let f(x)=(4x^2 -7x +2)/(x^2 -16x +63) Find the equations of the ...
intermediate algebra - Let f(x) =3x and g(x)=4x Find its function and its domain...
For Further Reading
