Question #N35
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. x = 2
B. x = -2
C. x = 2, x = -2
D. All values of x
Correct Answer is: A
A function is undefined when the denominator of a fraction equals zero. In this case, the denominator is x - 2. Solving for x, we find that x = 2 makes the denominator equal to zero, making the function undefined at that point. Therefore, the function f(x) is undefined for x = 2.