SOLUTION: find all numbers for which the rational expression is undefined. If the rationaal expression is defined for all numbers, state this. y+3/y^2-9

Question 497535: find all numbers for which the rational expression is undefined. If the rationaal expression is defined for all numbers, state this.
y+3/y^2-9
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
find all numbers for which the rational expression is undefined. If the rationaal expression is defined for all numbers, state this.
y+3/y^2-9
**
y+3/y^2-9
To find the values of y that make the given rational expression undefined, set the denominator=0, then solve for y.
..
y^2-9=0
(y+3)(y-3)=0
y+3=0
y≠-3
and
y-3=0
y≠3
..
Domain: (-∞,-3) U (-3, 3) U (3, ∞)
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