Find the value(s) of x for which the expression is undefined: \(\frac{6x - 1}{x^2 + 4x - 5}\)
A
+4 or+1
B
-5 or +1
C
-5 or -1
D
+5 or -1
E
\(\frac{1}{6}\)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
\(\frac{6x - 1}{x^2 + 4x - 5}\)
The expression is undefined when \(x^2 + 4x - 5 = 0\)
\(x^2 + 5x - x - 5 = 0\)
\(x(x + 5) - 1(x + 5) = 0\)
\((x - 1)(x + 5) = 0\)
The expression is undefined when x = 1 or -5.
Source: Myschool Past Questions Archive (Record #23702)