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Mathematics 13 Online
OpenStudy (anonymous):

Determine the domain of the function. f(x) = 4 / x^2

OpenStudy (primeralph):

Decision and reason.

OpenStudy (anonymous):

I do not know haha

OpenStudy (primeralph):

What will make the denominator 0?

OpenStudy (aykayyy):

first think about what a domain is..... that might help a little

OpenStudy (anonymous):

Recall that you can't divide by zero. So start by setting your denominator equal to zero is a good place to start

OpenStudy (aykayyy):

a domain is all values of x where the function does exist... basically you cannot have a 0 in the denominator

OpenStudy (aykayyy):

then like @vinnv226 said.... set your denominator equal to 0 and that will tell you what value makes the denomintor zero and therefore makes the function for that value of x not exist.... so this number is not part of the domain because it cannot be

OpenStudy (primeralph):

@lornbeach You know the drill, you have to say something.

OpenStudy (anonymous):

where denominator not =0

OpenStudy (anonymous):

Haha drill ? Uhm okay so x^2 = 0

terenzreignz (terenzreignz):

That's a start... so, for what values of x would \[x^2=0\]?

OpenStudy (anonymous):

0

terenzreignz (terenzreignz):

And nothing else?

OpenStudy (anonymous):

could it be x greater than or equal to 0

OpenStudy (primeralph):

It's just 0. @terenzreignz You're a terror!

terenzreignz (terenzreignz):

No... I'm thorough :)

OpenStudy (primeralph):

Brother's got rhymes too.

OpenStudy (primeralph):

@lornbeach So, everything but 0 is in the domain.

OpenStudy (anonymous):

all real numbers except for 0

terenzreignz (terenzreignz):

boo yah

OpenStudy (anonymous):

thank you, everyone !

OpenStudy (primeralph):

See this, the graph starts acting crazy as it goes to zero. https://www.google.com/search?q=4%2Fx%5E2&oq=4%2Fx%5E2&aqs=chrome.0.69i57j69i58j0l3j69i62.2888j0&sourceid=chrome&ie=UTF-8

OpenStudy (anonymous):

Yes I see it ! Thanks @primeralph ((:

OpenStudy (primeralph):

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