Question #N74
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. 2
B. -2
C. 2 and -2
D. There are no values of $x$ for which $f(x)$ is undefined.
Correct Answer is: A
A function is undefined when the denominator of a fraction is zero. In this case, the denominator is $x-2$, which equals zero when $x = 2$. Therefore, $f(x)$ is undefined when $x = 2$.