Question 837926
First of all, please put numerators and denominators in parentheses. What you posted meant:
{{{2x-7 / x^2+5x-24}}}
But I'm quite sure you intended:
(2x-7)/(x^2+5x-24) or {{{(2x-7)/(x^2+5x-24)}}}<br>
A rational expression is undefined when its denominator is zero. So the answer(s) to this problem will be the solutions of:
{{{x^2+5x-24 = 0}}}
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<br>
So the values of x that make the rational expression undefined are -8 and 3.