Question #N381
The function \(f\) is defined by \(f(x) = \frac{x^2 - 4}{x - 2}\). For what value(s) of \(x\) is \(f(x)\) undefined?
A. 2 only
B. -2 only
C. 2 and -2
D. The function is defined for all values of \(x\)
Correct Answer is: A
A rational function is undefined when the denominator equals zero. The denominator of \(f(x)\) is \(x-2\), which equals zero when \(x=2\). Therefore, \(f(x)\) is undefined for \(x=2\) only.