Monday

October 20, 2014

October 20, 2014

Posted by **Leanna** on Monday, September 6, 2010 at 11:37am.

- Calculus -
**MathMate**, Monday, September 6, 2010 at 1:11pmWith x=2 and x=-2 as vertical asymptotes, the denominator of g(x) contains the factors (x-2) and (x+2).

To get 3 and 1 as zeroes, the numerator must contain the factors (x-3) and (x-1).

The horizontal asymptote of y=4 implies that lim x->∞ and x->-∞ g(x) = 4. This is the case when the highest powered term of the numerator divided by the highest power term of the denominator is 4.

Find g(x), and plot the graph to verify your answer.

- Calculus -
**Leanna**, Monday, September 6, 2010 at 6:50pmSo i got g(x)= (4x^2-16x+12)/(x^2-4)

is this correct?

- Calculus -
**MathMate**, Monday, September 6, 2010 at 7:46pmCorrect.

For you reference, see:

http://img94.imageshack.us/img94/1728/1283787460.png

**Answer this Question**

**Related Questions**

Calculus (Reiny or MathMate) - A rational function g has the lines x=2 and x=-2 ...

Calculus - A rational function g has the lines x=2 and x=-2 as vertical ...

Math - A rational function g has the lines x=2 and x=-2 as vertical asymptotes, ...

Gr.11 - Rational functions graphing. - 1. Identify a rational function whose ...

College Algebra - 1.Use completing the square to describe the graph of the ...

Math-precalc - Is it possible to find a rational function that has x-intercepts...

college algebra - Given the following rational function, find: A. horizontal ...

Calculus - Which of these rational functions has a ) horizontal asymptote? a ...

pre calculus - given the following rational function a. state the domain b. find...

Precalculus - Write an equation for rational function with given properties. a...