SOLUTION: Given x= x+7 _______ x^(2)-9 determine the domain. A. All real numbers except –3 and 3 B. All real numbers except –7 and 3

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: Given x= x+7 _______ x^(2)-9 determine the domain. A. All real numbers except –3 and 3 B. All real numbers except –7 and 3       Log On

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Question 364436: Given x=
x+7
_______
x^(2)-9
determine the domain.
A. All real numbers except –3 and 3
B. All real numbers except –7 and 3
C. All real numbers except –7, –3, and 3
D. All real numbers except 0

Found 2 solutions by Fombitz, Theo:
Answer by Fombitz(13828) About Me  (Show Source):
You can put this solution on YOUR website!
I think you mean y=%28x%2B7%29%2F%28x%5E2-9%29=%28x%2B7%29%2F%28%28x-3%29%28x%2B3%29%29
The domain is all numbers except those that make the denominator equal zero since division by zero is undefined.
A) All except x=3 and x=-3.

Answer by Theo(3458) About Me  (Show Source):
You can put this solution on YOUR website!
Expression is:
%28x%2B7%29+%2F+%28x%5E2+-+9%29

The denominator will be 0 when x = 3 or x = -3.

The domain should be all real numbers except x = 3 and x = -3.

A graph of your equation looks like this:

graph%28600%2C600%2C-10%2C10%2C-5%2C5%2C%28x%2B7%29%2F%28x%5E2-9%29%29

The numerator in the rational expression can be 0, but the denominator can't.

Your selection would be A.