Posted by **anon** on Wednesday, December 21, 2011 at 10:44am.

given the following rational function

a. state the domain

b. find the vertical and horizontal asymptotes if any

c. find the oblique asymptote

f(x) = x^2 + 7x + 5 / x + 8

- pre calculus -
**Steve**, Wednesday, December 21, 2011 at 11:36am
as usual, the domain is all reals except where the denominator is zero. That is, all reals except x = -8

Vertical asymptotes occur when the denominator is zero and the numerator is not.

at x = -8, the numerator is not zero, so that's the vertical asymptote.

For large x, f(x) is just x^2/x = x, so there's an oblique asymptote at the line y=x, and here are no horizontal asymptotes.

## Answer this Question

## Related Questions

- precalculus - given the following rational function f(x)= x^2+5x-7 / x-4 state ...
- Math - Domain and Asymptotes - Given the following rational function: f(x) = (x^...
- College Algebra - 1.Use completing the square to describe the graph of the ...
- college algebra - Given the following rational function, find: A. horizontal ...
- college algebra - Given the following rational function, find a. the horizontal ...
- College Algrbra - Given the following rational function, f(x)=x^2-x-2/ax^2-x-21 ...
- Given the following rational function - Given the following rational function, ...
- Precalculus - Write an equation for rational function with given properties. a...
- College Algebra - Given the following rational functions,find:a.)the horizontal ...
- algebra - For each of the rational functions find: a. domain b. holes c. ...