Find all numbers for which the rational expression is undefined

Answer:
{-3, 8}
Step-by-step explanation:
This rational expression is undefined wherever the denominator is 0.
Thus, our task is to determine the roots of x² - 5x - 24:
This expression factors as follows: (x - 8)(x + 3) = 0
Setting x - 8 = 0 and solving for x yields x = 8.
Similarly, x + 3 = 0 yields x = -3.
This rational expression is undefined for {-3, 8}.