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Hi all, here is a problem I need help with!laugh

There are three real numbers x that are not in the domain of this image: What is the sum of those three numbers?

Guest Jul 17, 2017
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1+0 Answers

 #1
avatar+78575 
+3

 

It's obvious that 0 and -1 are two of the numbers

 

Let's simplify this

 

           1                               1                     1                    1                x + 1

---------------------    =   ----------------  =     ----------  =    -----------  =    -----------   

1  +      1                    1  +   1                 1  +  x           2x + 1            2x + 1

         -----------                  ---------                 ------        --------    

          1  +   1                    x + 1                   x + 1        x + 1

                  ----                  ------

                   x                      x

 

And  -1//2 makes the denominator of this fraction 0

 

So..... the sum of the three numbers not in the domain is :

0 + (- 1) + ( - 1/2 )   =  -3 / 2

 

 

cool cool cool

CPhill  Jul 17, 2017

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