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Mathematics 19 Online
OpenStudy (tester97):

@whpalmer4 http://prntscr.com/2ud9pt

OpenStudy (whpalmer4):

what does the "domain of the function" mean to you?

OpenStudy (tester97):

find the x value?

OpenStudy (whpalmer4):

function is \[f(x) = \frac{2}{x+3}\]

OpenStudy (whpalmer4):

No, the domain is all the possible values that the function will accept as input. In other words, all the possible values of \(x\). Are there any values of \(x\) that this function cannot accept?

OpenStudy (tester97):

-3?

OpenStudy (whpalmer4):

you say that like you aren't sure... what happens if \(x = -3\)?

OpenStudy (tester97):

it wont work because you cant divide by 0

OpenStudy (whpalmer4):

Correct. Are there any other values which we can't accept?

OpenStudy (tester97):

Nope i think thats all of them

OpenStudy (whpalmer4):

Correct. So how would you express that? Which answer choice?

OpenStudy (tester97):

C

OpenStudy (whpalmer4):

Yes, the domain is \(x \ne -3\), so choice C.

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