for what vaules of x is the rational experession below undefined:

x+5/3x^2-3

1, -3, -1, -5, 3, or 5

Question

for what vaules of x is the rational experession below undefined:

x+5/3x^2-3

1, -3, -1, -5, 3, or 5

thesmartone · Answer

Heya there!! @sar12389 @~ $\Huge\cal\color{blue}{Welcome~to~Open~Sudy!!}$ Since you are new here feel free to look at this tutorial for new Open Studiers!!! http://openstudy.com/study#/updates/543de42fe4b0b3c6e146b5e8

thesmartone · Answer

$$\frac{ x+5 }{ 3x^2 -3}$$
Is this your question? @sar12389 @~

thesmartone · Answer

Oh oops again I tagged the wrong user...
@bbeatsbianca @~ Is that your question and again. Welcome to OS!!

anonymous · Answer

yes that is

anonymous · Answer

@TheSmartOne

thesmartone · Answer

ok :D

thesmartone · Answer

So to get an equation undefined the denominator has to equal to 0 because
$\Huge\frac{0}{x}=0$

and 

$\Huge\frac{x}{0}=undefined$

anonymous · Answer

oh okay that makes more sense! I thought so but im just confusing myself.

thesmartone · Answer

So to find what makes the equation undefined we just set the denominator equal to 0!!

anonymous · Answer

so would the answers be 1 and -1

thesmartone · Answer

So lets see

thesmartone · Answer

$ 3x^2-3=0$
$ 3x^2=3$
$ x^2=1$
$ x= \pm1$
So yes!! Good job!

anonymous · Answer

awesome thank you very much!

anonymous · Answer

$$\frac{ x-1 }{ (x-3)(x+1)} $$

anonymous · Answer

what value of x is the rational expression equal to zero? @TheSmartOne

thesmartone · Answer

In this case the numerator has to equal to 0.

thesmartone · Answer

@bbeatsbianca @~

anonymous · Answer

so i can just plug in the numbers they give me and make the numerator 0 and that will be my answer?

thesmartone · Answer

You make the numerator equal to 0 so
x-1=0
and solve for x :D

anonymous · Answer

x=1

thesmartone · Answer

Exactly

anonymous · Answer

thank you! @TheSmartOne

thesmartone · Answer

No problem!!