### Home > CALC > Chapter 1 > Lesson 1.3.2 > Problem 1-114

1-114.

State the domain for each of the following functions.

You should recognize that

is the equation of a semi-circle with radiusand center at the origin.

The parent function,

, has an open domain of.

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

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

Domain:

,