Chapter P - P.3 - Functions and Their Graphs - Exercises - Page 27: 34

Domain: All real numbers $x$ such that $x \ne 0$ Range: All real numbers $y$ such that $y \ne 0$

$g(x)=\frac{4}{x}$ The denominator of the function must not equal zero, so the domain is: All real numbers $x$ such that $x \ne 0$ In reciprocal functions, there is a horizontal asymptote, so the range is: All real numbers $y$ such that $y \ne 0$