Find the horizontal asymptote

Question

Taco · Answer

I think I will try to use the tool u said.

Taco · Answer

$$f(x) = \frac{ 8x -7 }{ 4x + 3 }$$

Taco · Answer

thats what on my paper

Hero · Answer

Okay, so to find the horizontal asymptote, you simply divide the coefficients of the terms with highest degree. In this case the terms with the highest degree are $8x$ and $4x$.

$\dfrac{8x}{4x} = ?$

Taco · Answer

2?

Hero · Answer

Correct.

Taco · Answer

that was a bit easier than I thought

Taco · Answer

do they need to be the same degree?

Hero · Answer

You just simply circle the coefficient terms with the highest degree in both the numerator and denominator and then divide them. That is it.

Hero · Answer

So actually, we would only divide the 8 and 4.

Taco · Answer

okay wow thats pretty simple

Hero · Answer

But if the degree of the numerator is higher than the degree of the denominator, then there will not be a horizontal asymptote.

Taco · Answer

like x^2/x ?

Hero · Answer

Exactly

Taco · Answer

I think I got this one then. will skip to some other ones I don't know.