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

Algebra ->  Trigonometry-basics -> SOLUTION: find all numbers for which the rational expression is undefined. If the rational expression is defined for all numbers, state this. y+3/y^2-9      Log On


   



Question 497534: find all numbers for which the rational expression is undefined. If the rational expression is defined for all numbers, state this.
y+3/y^2-9

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
The expression (y+3)/(y^2 - 9) is undefined when the denominator is zero and the numerator is nonzero. The denominator is 0 when y = 3 or -3. However, y = -3 produces 0/0 (which is said to be indeterminate, not undefined), so y = 3 is the only solution.