How do you find the domain of #f(x) = sqrt((3 - x) / (x + 2))#?
The domain of a function is all of the inputs for which the function is defined. The function is a fraction as well as square root. Of course, the denominator can't be zero, as the fraction would be undefined. So
But also, since we have a square root, neither the denominator nor the numerator can be negative. So
Bringing these two together, we can define the domain as