Question

Find all numbers for which the rational expression is undefined ​

Answer 1

{-3, 8}

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}.