SOLUTION: consider the problem x-8/ x +5 divided by x -9/ x + 4. Explain why -5,9,and -4 are not allowable replacement for variable x.

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Question 154639: consider the problem x-8/ x +5 divided by x -9/ x + 4. Explain why -5,9,and -4 are not allowable replacement for variable x.
Found 2 solutions by Fombitz, Earlsdon:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Any of those answers would make a denominator of a fraction expression equal to zero.
A division by zero would occur, which is an undefined quantity and is not allowed.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Divide:
%28x-8%29%2F%28x%2B5%29by%28x-9%29%2F%28x%2B4%29 Invert the second fraction and multiply.
%28%28x-8%29%2F%28x%2B5%29%29%2A%28%28x%2B4%29%2F%28x-9%29%29
If you substitute any of the values, -5, 9, or, in the given expression, -4, you will end up with a fraction whose denominator is zero.
This means that you will be dividing by zero and, as you know, division by zero is undefined and thus not allowed.