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State the domain of each of the following functions.

  1. You should recognize that is the equation of a semi-circle with radius and center at the origin.

  2. The parent function, , has an open domain of .

  3. Factor the denominator. Remember, that the domain cannot support zeros in the denominator.

  4. The numerator and denominator will be restricted in different ways. Combine both restrictions.

    Domain: ,