Question #N241

The function $f(x) = \frac{1}{x-2}$ is defined for all real numbers except $x = 2$. What is the value of $f(f(3))$?
A. 1
B. 2
C. 3
D. 4

Correct Answer is: A

First, we find $f(3)$: $f(3) = \frac{1}{3-2} = 1$. Then, we find $f(f(3)) = f(1) = \frac{1}{1-2} = -1$.