## College Algebra 7th Edition

the domain is: $\{x|x\neq 0,\ -1,\ -2\}$
We are given: $f(x)= \frac{1}{x}+\frac{1}{x+1}+\frac{1}{x+2}$ We know that the denominators can't equal 0, so: $x\ne 0$ $x+1\ne 0$ $x\ne -1$ $x+2\ne 0$ $x\ne -2$ Thus the domain is: $\{x|x\neq 0,\ -1,\ -2\}$.