Posted by **tony** on Thursday, July 21, 2011 at 12:50am.

f(x)=(-3x^3-x^2-9x-8)/(6x^2+4x+3. Find the equation of the non-vertical asymptote. y=

Does f(x) intersect its non-vertical asymptote ?

What is the smallest value of x at which f(c) intersects its non-vertical asymptote ?

please show all the work. I did this and got the wrong answer. I want to know where I made a mistake. Thank you

- CALCULUS HELP ! -
**Reiny**, Thursday, July 21, 2011 at 7:06am
By long division I got

(-3x^3-x^2-9x-8)/(6x^2+4x+3) = (-1/2)x+1/6 + ( (-49/6)x - 17/2 )/(6x^2 + 4x + 3

As x becomes ± large, the last term ----> 0

and the asymptote is

y = (-1/2)x + 1/6

The denominator can never be zero, solving 6x^2 + 4x + 3 = 0 produces complex roots.

Thus the function is continuous, and can never cross its asymptote.

- CALCULUS HELP ! -
**Anonymous**, Thursday, July 21, 2011 at 12:21pm
The value of c we find solving the equation

(-49/6)x-17/2=0

## Answer this Question

## Related Questions

- CALC - f(x)=x^3-3x^2-3x-8/(-3x^2-4x-6) Find the equation of the non-vertical ...
- calculus - f(x)=8x^3+1x^2–8x+2/–7x^2–4x+9 Find the equation of the non-vertical...
- Calculus - f(x)= (-5x^3 + 3x^2 + 3x -5)/(-8x^2 +2x + 7) Find the equation of the...
- CALCULUS! - f(x)=(6x^3–9x^2–3x–1)/(4x^2+7x–3) . Find the equation of the non-...
- calc - f(x)=[5x^3-4x^2-8x+9]/[2x^2-1x-3] Find the equation of the non-vertical ...
- calc - f(x)=[5x^3-4x^2-8x+9]/[2x^2-1x-3] Find the equation of the non-vertical ...
- Math - Calculus - Find the equation of the non-vertical asymptote. What is the ...
- CALC 2a - f(x)=x^3-3x^2-3x-8/(-3x^2-4x-6) Find the equation of the non-vertical...
- calculus - Find the equation of the non-vertical asymptote. y=?? 5x^3+5x^2+8x-7...
- Calc - f(x)=x^3-3x^2-3x-8/(-3x^2-4x-6) Find the equation of the non-vertical ...

More Related Questions