SOLUTION: Find all real numbers for which the rational expression is undefined. If the rational expression is defined, so state. (x)/(x-8) I don't just want the answer, I want the work be

Algebra ->  Rational-functions -> SOLUTION: Find all real numbers for which the rational expression is undefined. If the rational expression is defined, so state. (x)/(x-8) I don't just want the answer, I want the work be      Log On


   

Question 884798: Find all real numbers for which the rational expression is undefined. If the rational expression is defined, so state. (x)/(x-8)
I don't just want the answer, I want the work because I was never taught this specific subject. Help please!!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You cannot divide by zero. You cannot do something like 1/0. This is undefined.

So that means the denominator x - 8 cannot be zero.

IF the denominator was zero, then

x-8 = 0

x = 8

So IF the denominator was zero, then x = 8. Go backwards and that means x = 8 causes the denominator to be zero.

So x = 8 makes the expression undefined.