anonymous
  • anonymous
solve for x
Precalculus
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
...
anonymous
  • anonymous
|dw:1377815914963:dw|
anonymous
  • anonymous
do i multiply both sides by x-1?

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More answers

anonymous
  • anonymous
Yea. Do the opposite.
DebbieG
  • DebbieG
No... this is a rational expression inequality. So you need to think about the SIGN of the rational expression in different parts of the domain.
anonymous
  • anonymous
Listen to DebbieG
DebbieG
  • DebbieG
Then find the regions where the ratio is > or = 0 Since it's a ratio, it will potentially change sign anywhere that either the num'r or den'r has a root. So those points "divide up" your domain.
DebbieG
  • DebbieG
Where is x - 3=0? Where is x + 1=0?
anonymous
  • anonymous
3 -1
DebbieG
  • DebbieG
good.... so you can divide up the domain like so: |dw:1377816164909:dw|
DebbieG
  • DebbieG
Hold on, not that simple. Think about the sign of each factor (num'r and den'r each have one factor) in each part of the domain.
DebbieG
  • DebbieG
When x<-1: is the num'r positive or negative? is the den'r positive or negative?
DebbieG
  • DebbieG
(You can just plug in a test number, like x=-2)
DebbieG
  • DebbieG
Find the sign in each region of the domain - remember, the sign of the RATIO depends on whether the two factors have the SAME or DIFFERENT signs.
DebbieG
  • DebbieG
Then construct your solution set, also keeping in mind what is happening at the partition points: At x=-1, function is UNDEFINED At x=3, function is =0 So x=3 is IN the solution set. x=-1 is NOT.
dan815
  • dan815
theres an asymptote at x=-1
dan815
  • dan815
|dw:1377816676275:dw|
dan815
  • dan815
|dw:1377816754405:dw|
dan815
  • dan815
|dw:1377816775275:dw|
dan815
  • dan815
|dw:1377816849011:dw|
dan815
  • dan815
|dw:1377816905011:dw|
DebbieG
  • DebbieG
Yeah, graphical methods can be useful also. It kind of depends on what you've studied so far about rational equations. Also whether you are expected to do this type of problem with a calculator (I wouldn't blink about giving this problem in my Algebra 2 class on a NON-calculator quiz or exam).
dan815
  • dan815
debbie u teach highschool?

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