Question #N867
The function $f(x)$ is defined by $f(x) = \frac{x^2 - 4}{x - 2}$. For what value(s) of $x$ is $f(x)$ undefined?
A. 0
B. 2
C. -2
D. 2 and -2
Correct Answer is: B
A function is undefined when the denominator of the fraction is equal to zero. In this case, the denominator is $x-2$. Solving the equation $x-2 = 0$, we find that $x = 2$. Therefore, $f(x)$ is undefined when $x = 2$.