Posted by Pegs on Friday, May 28, 2010 at 12:20am.
f(x) = (9x^3  1x^2 + 8x + 4)/(2x^2  4x  2)
What is the smallest value of x at which f(x) intersects its nonvertical asymptote?
I took the slant asymptote which is 9/2x+19/2 and set it equal to the function and tried to solve it as a quadratic equation. But any of my answers I enter into my online homework are wrong apparently. Help?

calculus  drwls, Friday, May 28, 2010 at 1:24pm
Did you really mean to write 1x^2 as the second term of the numerator? or did you mean to write 19 x^2?
For very large x, the f(x) ratio becomes 9x^3/2x^2 = (9/2)x
That means the nonvertical asymptote is fasym(x) = (9/2) x
At an intersection with the asymptote, you can subsitute (9/2)x for f(x).
If you make that substition and multiply both sides by (2x^2  4x  2), the cubic terms drop out and you are left wth a quadratic to solve. Is that what you did?

calculus  Pegs, Tuesday, June 1, 2010 at 8:29pm
No, I wrote everything correctly.
Yes I did that and then I did multiply both sides by the denominator. The answer I got from the quadratic equation was not correct, however, according to my online homework.
Answer This Question
Related Questions
 CALCULUS HELP !  f(x)=(3x^3x^29x8)/(6x^2+4x+3. Find the equation of the non...
 calculus  f(x)=8x^3+1x^2–8x+2/–7x^2–4x+9 Find the equation of the nonvertical...
 Calculus  f(x)= (5x^3 + 3x^2 + 3x 5)/(8x^2 +2x + 7) Find the equation of the...
 CALC  f(x)=x^33x^23x8/(3x^24x6) Find the equation of the nonvertical ...
 CALCULUS!  f(x)=(6x^3–9x^2–3x–1)/(4x^2+7x–3) . Find the equation of the non...
 Math  Calculus  Find the equation of the nonvertical asymptote. What is the ...
 calc  f(x)=[5x^34x^28x+9]/[2x^21x3] Find the equation of the nonvertical ...
 calc  f(x)=[5x^34x^28x+9]/[2x^21x3] Find the equation of the nonvertical ...
 calculus  Find the equation of the nonvertical asymptote. y=?? 5x^3+5x^2+8x7...
 CALC 2a  f(x)=x^33x^23x8/(3x^24x6) Find the equation of the nonvertical ...
More Related Questions