SOLUTION: for what values of the variable x is the rational expression undefined : 8/(x+2)

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Question 1038402: for what values of the variable x is the rational expression undefined : 8/(x+2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
We CANNOT divide by zero. Something like 8/0 is undefined.
Think of a house built upon a foundation of nothing. It would collapse.
That's how I remember that 0 cannot be in the denominator.

So because 0 can't be in the denominator, this means x+2 cannot be zero.

If x+2 were zero, then solving x+2 = 0 for x gives x = -2

This means if x = -2 then x+2 is zero.

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If x = -2, then the rational expression is undefined because this leads to a division by zero error. Any other real number is allowed for x.