GMAT Problem Solving Question 28: Functions

 
The following GMAT Problem Solving question tests your understanding of functions and how to manipulate algebraic expressions.

Question 28:

The function $f(x) = \dfrac{\left(x-\dfrac{1}{x}\right)}{\left(x+\dfrac{1}{x}\right)}$ is defined for all values of $x \neq 0$. Which of the following is equal to $f\left(-\dfrac{1}{x}\right)$?

1. $\quad -f(x)$
2. $\quad -f(-x)$
3. $\quad f(x)$
4. $\quad -f\left(\dfrac{1}{x}\right)$
5. $\quad f\left(\dfrac{1}{x}\right)$