3.3E: Domain and Range (Exercises)

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    3.3E: 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: \(f(x)=\left\{\begin{array}{ll}x+1 & x<-2 \\ -2 x-3 & x \geq-2\end{array}\right.\)


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