College Algebra 7th Edition

the domain is: $(-1,\ \infty)$
We are given: $f(x)=3x- \frac{2}{\sqrt{x+1}}$ We can not take the square root of a negative number, so: $x+1\geq 0$ $x\geq -1$ We also can't have a zero denominator: $x+1\ne 0$ $x\ne -1$ Thus overall: $x\gt -1$. Therefore, the domain is: $(-1,\ \infty)$.