Kirtthana R.

asked • 03/24/21

How do I write an equation of an rational function given these characteristics

Write an equation of a rational function that has no vertical asymptotes, horizontal asymptote at 𝑦 = 5, a hole at 𝑥 = 3 and 𝑥-intercepts at origin

1 Expert Answer

By:

Dayv O. answered • 03/24/21

Tutor
5 (55)

Caring Super Enthusiastic Knowledgeable Calculus Tutor

Dayv O.

should read f(x)=g(x)*(x-3)/x-3), this is my hole at x=3, that is (x-3)/x-3)
Report

03/25/21

Dayv O.

same as f(x)=(5x^3-15x^2)/((1+x^2)*(x-3) asymptote=5- ;;;;; for asymptote 5+, then f(x)= -(5x^3-15x^2)/((1+x^2)*(x-3)
Report

03/25/21

Dayv O.

well did graph and no, for asymptote 5+ must use f(x)=10-(5x^3-15x^2)/((1+x^2)*(x-3)
Report

03/25/21

Dayv O.

well, analyzing more, only f(x)=(5x^3-15x^2)/((1+x^2)*(x-3) can fit question. I think, let me know if I am wrong.
Report

03/25/21

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.