Find any numbers for which each rational expressionis undefined.
9y^5+y^3/9
To determine the values for which a rational expression is undefined, we need to identify any values of the variable that would make the denominator equal to zero. In this case, we have the rational expression:
(9y^5 + y^3) / 9
To find the values of y for which this expression is undefined, we need to set the denominator equal to zero and solve for y.
9y = 0
Solving this equation, we find that y = 0.
Therefore, the rational expression is undefined when y = 0 because substituting y = 0 would result in a zero denominator, which is not allowed in mathematics.