Finding the horizontal asymptotes of f The question I must answer is: "Find the horizontal asymptotes of f(x)=(sqrt (10x2+11))/(12x+10)." However, I am unsure how to find the horizontal asymptote or what this means. Can anyone explain this?

Ayanna Goodman

Ayanna Goodman

Answered question

2022-11-09

Finding the horizontal asymptotes of f
The question I must answer is:
"Find the horizontal asymptotes of f ( x ) = 10 x 2 + 11 12 x + 10 "
However, I am unsure how to find the horizontal asymptote or what this means. Can anyone explain this?

Answer & Explanation

smeachtaczm

smeachtaczm

Beginner2022-11-10Added 14 answers

The line y=h is a horizontal asymptote of any function ϕ ( x ) if and only if lim x ± ϕ ( x ) exists and is equal to h. Hence you need to compute
lim x ± 10 x 2 + 11 12 x + 10 .
Can you see how and why it is helpful to use
10 x 2 + 11 = x 2 ( 10 + 11 / x 2 ) and 12 x + 10 = x ( 12 + 10 / x )?

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?