For what value of y is the expression \(\frac{y + 2}{y^{2} - 3y - 10}\) undefined?

The expression \(\frac{y + 2}{y^{2} - 3y - 10}\) is undefined when the denominator is equal to zero, since division by zero is undefined. So we can set the denominator equal to zero and solve for y: y^2 - 3y - 10 = 0 We can factor this quadratic equation as: (y - 5)(y + 2) = 0 And using the zero product property, we know that this equation is only true when either (y - 5) = 0 or (y + 2) = 0. Therefore, the expression is undefined when either y = 5 or y = -2. Therefore, the answer to the question is y = 5 or y = -2.