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Find the domain of (f/g)(x) where f(x)= sqrt(x+2) and g(x)= sqrt(3-x).

Please help, I looked it up and it said the answer is [-2,3), but shouldn't -2 not be included because f(-2) would make the square root be 0?

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MathPhys

Step-by-step explanation:

(f/g)(x) = √(x+2) / √(3−x)

As you said, f(-2) = 0, but since it's in the numerator, that's okay.

g(3) = 0, and you can't divide by 0, so x=3 is not included.

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