precal help pls!
determine the equations of the asymptotes g(x)=3x^2-12/x+4

Question

precal help pls!
determine the equations of the asymptotes g(x)=3x^2-12/x+4

3mar · Answer

May I help?

txkyos · Answer

yes please!

3mar · Answer

Where are the "asymptotes" exist?

txkyos · Answer

I'm not exactly sure? Do I look for the vertical and
 horizontal asymptotes or the oblique asymptote?

txkyos · Answer

Would I get the answer by trying synthetic division by -4?

3mar · Answer

You are looking for them in the denominator. Am I right?

txkyos · Answer

I have...no clue..lol

3mar · Answer

Ok. Before doing a thing, look at the graph of this function! https://www.desmos.com/calculator/jkbpzixgov What can you notice?

txkyos · Answer

the graph doesn't touch x= -4?

3mar · Answer

Yes, it does not touch it.

txkyos · Answer

So do I use synthetic division by -4 to get the equation?

3mar · Answer

https://www.desmos.com/calculator/geei5uhzcg That is a better view! Keep that in mind....the denominator approach infinity at its zero!

3mar · Answer

@txkyos 
Do you follow?

txkyos · Answer

is my answer -4?

3mar · Answer

$$\Huge\color{red}\checkmark$$
Congratulations!
You hit the right target!


Yes, it is -4 and it is a vertical asymptote!

txkyos · Answer

thanks! but I'm still a bit confused since it's asking for an equation..

3mar · Answer

It is easy.
He just wants to know that is a vertical one, which means that vertical line nromal to the x-axis and passes through the point (-4,0), so the equation of this line is $$\Huge\color{MediumSeaGreen }{x=-4}$$

txkyos · Answer

okay thanks man!!

3mar · Answer

Don't mention that!
That is with my pleasure!

If there are any more questions, pleasure is mine to help!