# Chapter 11 - Additional Topics - 11.7 - Relations and Functions - Problem Set 11.7 - Page 508: 27

The domain of the given function is the set of all real numbers except 0.

#### Work Step by Step

When the question asks for the domain of the function, it is asking for what values of x can be legally substituted into the function. (For instance, in the function $\frac{2}{x}$, x $\ne$ 0, for this would make the denominator of the fraction equal to 0.) Find the number that makes the denominator zero by equating the denominator to zero: $2x=0 \\x=\frac{0}{2} \\x=0$ Thus, the denominator is equal to zero when $x=0$. Therefore, the domain of the given function is the set of all real numbers except 0.

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