For what values of x is (frac{x^{2} – 9x + 18}{x^{2} + 2x – 35}) undefined?
-
A.
6 or 3 -
B.
-18 or -9 -
C.
-7 or 5 -
D.
-5 or 7
Correct Answer: Option C
Explanation
An fraction is undefined when the denominator has value = 0.
(frac{x^{2} – 9x + 18}{x^{2} + 2x – 35}) is undefined when (x^{2} + 2x – 35 = 0)
(x^2 + 7x – 5x – 35 = 0 implies (x + 7)(x – 5) = 0)
(x = text{-7 or 5})