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For , , and , write equations for each of the following compositions of functions and state the domains.

  1. Since is a square root function, the domain of is

  2. is a rational function, so the denominator cannot equal .

    Before writing your simplified equation, the quantity inside of the square root must be greater than or equal to .

  3. The denominator cannot equal . For what value(s) of does ? Also, due to the square root in the original function, .

    Domain: and , where is an integer value