3.2E: Domain and Range (Exercises)
For the following exercises, find the domain of each function, expressing answers using interval notation.
20. \(f(x)=\frac{2}{3 x+2}\)
21. \(f(x)=\frac{x-3}{x^{2}-4 x-12}\)
22. \(f(x)=\frac{\sqrt{x-6}}{\sqrt{x-4}}\)
23. Graph this piecewise function: \(f(x)=\left\{\begin{array}{ll}x+1 & x<-2 \\ -2 x-3 & x \geq-2\end{array}\right.\)