Question 310146
For what value(s) of y is this expression not defined?
<pre><font size = 4 color = "indigo"><b>
{{{(2y+1)/(y^2-y-6)}}} 

We factor the denominator:

{{{(2y+1)/((y-3)(y+2))}}}

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

{{{(y-3)(y+2)=0}}}

We now use the zero-factor property. 

Setting the first factor = 0,

{{{y-3=0}}}
{{{y=3}}}

Setting the second factor = 0,

{{{y+2=0}}}
{{{y=-2}}}

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

Edwin</pre>