what are the holes, vertical asymptotes, and horizontal asymptotes of f(x)=x^3-7x^2+12x/ 3x^2-15x+12 ?

Question

what are the holes, vertical asymptotes, and horizontal asymptotes of    f(x)=x^3-7x^2+12x/ 3x^2-15x+12 ?

anonymous · Answer

Your VA will be where the denominator equals zero and your HA you simplify the highest powers. x^3/3x^2=x/3, which means you do not have a HA asymptote because it is constantly getting bigger

anonymous · Answer

so what exactly r the answers?

anonymous · Answer

VA=(3x-3)(x-4)
VA=1 and 4

anonymous · Answer

Do you understand how to get the answer? If  not I can explain it

anonymous · Answer

Yes i do now. Thanks so much!

anonymous · Answer

do u know how to solve....   $$\log _{16}3n=\log _{16}(2n+1)$$  ?

anonymous · Answer

Yes, one sec and i will explain it

anonymous · Answer

okay

anonymous · Answer

ok so you will need to take the base 16 log of both sides, which will get rid of the logs
3n=2n+1
n=1

anonymous · Answer

I am not familiar with the equation drawer on here or I would use that. :) Does this make sense?

anonymous · Answer

Im referring to the problem

anonymous · Answer

yep!!

anonymous · Answer

|dw:1315344408543:dw|      how do you know if this expression is "undefined" or not?