## Intermediate Algebra (12th Edition)

a. {$x$|$x$ is a real number, $x\ne0$} b. $(-∞,0)U(0,∞)$
We are given the function $f(x)=\frac{12x+3}{x}$. The domain of the function will be all values of $x$ such that the denominator does not equal 0. Therefore, we can set the denominator equal to 0. We will exclude from the domain all values of $x$ that make the denominator equal 0. $x=0$ Therefore, the domain is {$x$|$x$ is a real number, $x\ne0$} in set-builder notation and $(-∞,0)U(0,∞)$ in interval notation.