Wednesday

July 23, 2014

July 23, 2014

Posted by **jasmineT** on Monday, March 12, 2012 at 12:26am.

Find the equation of the non-vertical asymptote.

y =

Does f(x) intersect its non-vertical asymptote? (yes or no)

What is the smallest value of x at which f(x) intersects its non-vertical asymptote? ( Enter No in the question blank if you answered no above.)

I got the answer to the first two parts, y=2.5x-.75 and yes. But i don't know how to figure out the last part of the question. Please help :)

- calc -
**Reiny**, Monday, March 12, 2012 at 8:24amyour y = 2.5x - .75 is correct, (obtained by division)

so now we have to intersect

y = [5x^3-4x^2-8x+9]/[2x^2-1x-3] and y = 2.5x - .75

[5x^3-4x^2-8x+9] = [2x^2-1x-3][2.5x - .75]

[5x^3-4x^2-8x+9] = 5x^3 - 1.5x^2 - 2.5x^2 + .75x - 7.5x + 2.25

-1.25x = -6.75

x = 5.4

yes, f(x) intersects its non-vertical asymptote at x = 5.4

Wolfram seems to agree with me

http://www.wolframalpha.com/input/?i=%5B5x%5E3-4x%5E2-8x%2B9%5D%2F%5B2x%5E2-1x-3%5D+%3D+2.5x+-+.75

**Related Questions**

CALC - f(x)=x^3-3x^2-3x-8/(-3x^2-4x-6) 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 ...

CALCULUS HELP ! - f(x)=(-3x^3-x^2-9x-8)/(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 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 2a - f(x)=x^3-3x^2-3x-8/(-3x^2-4x-6) Find the equation of the non-vertical...

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

Math - Calculus - Find the equation of the non-vertical asymptote. What is the ...

calculus - Find the equation of the non-vertical asymptote. y=?? 5x^3+5x^2+8x-7...