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Mathematics 24 Online
OpenStudy (bbb911):

x + 2 / 2 Find all numbers for which the rational expression is not defined.

jimthompson5910 (jim_thompson5910):

is there a possibility to divide by zero?

OpenStudy (bbb911):

i was thinking of canceling something out but i don't think that is correct

jimthompson5910 (jim_thompson5910):

is there a variable in the denominator?

OpenStudy (bbb911):

no i only see a 2 at the bottom for my question

jimthompson5910 (jim_thompson5910):

so it's impossible for the denominator to ever be 0 making division by zero never happening no matter what you pick for x

jimthompson5910 (jim_thompson5910):

so the expression is defined for all values of x

OpenStudy (bbb911):

so how would i simplify this expression you can't or is there a way?

jimthompson5910 (jim_thompson5910):

it's as simple as it gets I'm assuming the original expression is \[\Large \frac{x+2}{2}\]

OpenStudy (bbb911):

yes

jimthompson5910 (jim_thompson5910):

that can't be simplified further

OpenStudy (bbb911):

so my answer would be not defined

jimthompson5910 (jim_thompson5910):

no, it's asking for what values of x make the expression undefined

jimthompson5910 (jim_thompson5910):

there are no such x values that do that

OpenStudy (bbb911):

oh i see so my answer would be just be the same expression i take it since it can't be undefined

jimthompson5910 (jim_thompson5910):

no your answer would just be what I explained above (but in your own words). You would say something like "there's no way to divide by zero, so there are no x values that make the expression undefined"

OpenStudy (bbb911):

oh i see you have to explain why like the way you stated there, ok i get it now thanks Jim :)

jimthompson5910 (jim_thompson5910):

I'm glad it's clicking now

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