The following GMAT Problem Solving question tests your understanding of properties of functions.

**Question 12**:

Which of the following functions $f$ satisfies the condition $f(x+y) = f(x) \cdot f(y)$ for all non-zero values of $x$ and $y$?

- $\quad f(x)=\dfrac{1}{x}$
- $\quad f(x)=3^{-2x}$
- $\quad f(x)=-x$
- $\quad f(x)=\sqrt{x}$
- $\quad f(x)=x^2-x$

**Video Explanation**

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