Question #N268
A 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
B. 2
C. -2 and 2
D. The function is defined for all values of $x$.
Correct Answer is: B
A function is undefined when the denominator of a fraction is equal to zero. In this case, the denominator is $x - 2$, which is equal to zero when $x = 2$. Therefore, the function is undefined for $x = 2$.