State the domain of f•g.

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Explanation:

The idea is to start with f(x), then replace every copy of x with g(x) so that you end up with the composition function as shown below.

The notation is the same as

I prefer as it is more descriptive.

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Now onto computing the domain. We want to avoid dividing by zero, and we want to avoid taking the square root of a negative number.

This means the expression x+3 must be larger than 0. That way will also be larger than 0.

If x+3 > 0, then x > -3 after subtracting 3 from both sides.

As long as x is larger than -3, then it is a valid input to the composite function

i don't think there is enough

i would think "anyone would want the best for their child" is correct