Question

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

Answer 1

`f(x)=√(x+2),\ g(x)=√(3-x)\\\\\left((f)/(g)\right)(x)=(√(x+2))/(√(3-x))\\\\The\ domain:\\\\x+2\geq0\ \wedge\ 3-x > 0\\\\x\geq-2\ \wedge\ x<3\to\boxed{x\in[-2,\ 3)}`