Question

How do you find the domain of `f(x) = sqrt((3 - x) / (x + 2))`?

Answer 1

`-2< x<=3`

Explanation:

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 `x!=-2`

But also, since we have a square root, neither the denominator nor the numerator can be negative. So `x>=3` and `x > -2`.

Bringing these two together, we can define the domain as `-2 < x <=3`