Home > CALC3RD > Chapter Ch1 > Lesson 1.3.2 > Problem 1-114
1-114.
State the domain of each of the following functions.
You should recognize that
is the equation of a semi-circle with radius and 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:
,