SOLUTION: For what value(s) of y is this expression not defined? {{{(2y+1)/(y^2-y-6)}}}

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Question 310146:
For what value(s) of y is this expression not defined?


Answer by Edwin McCravy(20065)   (Show Source): You can put this solution on YOUR website!
For what value(s) of y is this expression not defined?

 

We factor the denominator:



We know that an expression is NOT defined for any value 
of the variable for which the denominator equals 0.
Therefore we set the denominator equal to 0, like this



We now use the zero-factor property. 

Setting the first factor = 0,




Setting the second factor = 0,




So the expression is not defined for the values 3 or -2.

Edwin

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