Question #N37
The function $f(x)$ is defined as $f(x) = \frac{x^2 - 9}{x - 3}$. For what value(s) of $x$ is $f(x)$ undefined?
A. x = 3 only
B. x = -3 only
C. x = 3 and x = -3
D. x = 0 only
Correct Answer is: A
A function is undefined when its denominator equals zero. In this case, the denominator is $x-3$, so the function is undefined when $x-3 = 0$, which simplifies to $x=3$. Therefore, the function is undefined for $x=3$ only.