You can put this solution on YOUR website! First of all, please put numerators and denominators in parentheses. What you posted meant:
But I'm quite sure you intended:
(2x-7)/(x^2+5x-24) or
A rational expression is undefined when its denominator is zero. So the answer(s) to this problem will be the solutions of:
Factoring we get:
(x+8)(x-3) = 0
From the Zero Product Property:
x+8 = 0 or x-3 = 0
Solving these we get:
x = -8 or x = 3
So the values of x that make the rational expression undefined are -8 and 3.