anonymous
  • anonymous
Find the domain: y= 3x-5/x2-4
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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terenzreignz
  • terenzreignz
When you're asked to find the domain of a rational function (one that looks like a fraction) It's ALL REAL NUMBERS... \[\huge \color{red}{except}\] those that would make the denominator zero. In this scenario, your denominator is \[\large x^2 -4\] For what values of x is \(\large x^2 -4\) equal to zero?
anonymous
  • anonymous
2
anonymous
  • anonymous
is the answer all real numbers except two???

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anonymous
  • anonymous
that is a quadratic (x^2-4)........... when you solve for x after equating it to zero you get +2 and -2 as the two possible values of x..... you could try solving that using factorisation or the quadratic formula.
anonymous
  • anonymous
i still don't understand!, xD uhm,., i'm a beginner could you explain in much more simple???
terenzreignz
  • terenzreignz
Okay, how do you go about solving this... \[\Large x^2 - 4 = 0\]
anonymous
  • anonymous
uhm, x^2= 4
anonymous
  • anonymous
then square root both sides x =2
terenzreignz
  • terenzreignz
Yeah, so x could either be 2... or...?
anonymous
  • anonymous
this is the graph |dw:1370779142207:dw| when x= -2 y is undefined so...when writing domain you will say x does not = -2 ...
anonymous
  • anonymous
is this right?
anonymous
  • anonymous
-2
anonymous
  • anonymous
it could be 2 or -2
anonymous
  • anonymous
sorry for being slow this is all so very new to me
anonymous
  • anonymous
what would be the answer??
anonymous
  • anonymous
ok...here's the answer.. \[x \neq 2\] \[X \in R\] AND \[x \neq -2\] \[X \in R\]
anonymous
  • anonymous
@derek123 This link should help you! :) If it doesn't let me know. http://www.personal.kent.edu/~bosikiew/Algebra-handouts/domain.pdf
anonymous
  • anonymous
thank for the answer, :3

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