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 $f\left(-\dfrac{1}{x}\right)$?

- $\quad -f(x)$
- $\quad -f(-x)$
- $\quad f(x)$
- $\quad -f\left(\dfrac{1}{x}\right)$
- $\quad f\left(\dfrac{1}{x}\right)$

**Video Explanation**

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