Tamika S.

asked • 07/14/16

Intervals of g(x)

Find the intervals in which g(x)< 0 and those in which g(x)>0

1 Expert Answer

By:

Alan G. answered • 07/14/16

Tutor
5 (4)

Successful at helping students improve in math!

Tamika S.

X^2-4/x^2-x-2
Report

07/14/16

Kenneth S.

Is this a rational algebraic function x2 - 4//[x2-x-2] ??  Note the grouping I supply for the quadratic denominator.
Report

07/14/16

Tamika S.

x^2-4/ x^2-x-2
Report

07/14/16

Alan G.

Tamika and/or Kenneth,
 
Write it like this:
 
g(x) = x2 − x − 2 − 4/x2.
 
Is this the same as the function you were given?
Report

07/14/16

Tamika S.

Its a fraction x^2-4/ x^2-x-2
Report

07/14/16

Alan G.

Tamika,
 
Okay, then you need to proceed as Kenneth suggested.
 
g(x) = x2 − 4/(x2 − x − 2).
 
What you must do is find where this function EQUALS zero, solve for x, then look at the intervals between the roots and test a number in each to see whether it makes the function positive or negative.
 
If you need more details on this, it must wait until tomorrow as it is 10:30 where I am writing this and it is late. Let me know and I will check back tomorrow.
Report

07/14/16

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.