SOLUTION: given: f(x)= x2+x-6/x2+8x+15 Write the solution set in the blank using interval notation for f(x)>0 The (x2) parts in the problem mean (x squared) The f(x)>0 is

Question 318664: given:

f(x)= x2+x-6/x2+8x+15
Write the solution set in the blank using interval notation for f(x)>0
The (x2) parts in the problem mean (x squared)
The f(x)>0 is supposed to be (greater than or equal to) not just greater than
Thank you for taking the time to look at this, appreciate it alot.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

Break up the number line into three parts.
Region 1: (,)
Region 2: (,)
Region 3: (,)
Pick a point in each region (not at the endpoints) and test the function.
If it solves the equation, it's in the solution region.
Region 1:

True, Region 1 is part of the solution.
.
.
.
Region 2:

False, Region 2 is not part of the solution.
.
.
.
Region 3:

True, Region 3 is part of the solution.
.
.
.
(,) U (,)
.
.
Graphical verification of the results.
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.

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