Question #N134
The function \(f\) is defined by \(f(x) = \frac{x^2-4}{x-2}\). For what value of \(x\) is \(f(x)\) undefined?
A. -2
B. 0
C. 2
D. 4
Correct Answer is: C
A function is undefined when the denominator of a fraction is zero. The denominator of \(f(x) = \frac{x^2-4}{x-2}\) is zero when \(x - 2 = 0\), or \(x = 2\). Therefore, \(f(x)\) is undefined when \(x = 2\).