Question

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Answer 1

the domain will contain all those numbers for which the quantity under \(\sqrt .. \) will be non-negative.

Answer 2

HINT: \(3x +4 \ge 0\)

Answer 3

yes, it does. set (3x+4)=0
solve for x
anything greater than that will result in a positive under the radical
anything less than that will result in a negative under the radical
negative under the radical means imaginary, doesn't exist therefore not part of the domain

Answer 4

-5 won't matter
just exclude the numbers for whic 3x+4 <0

Answer 5

@geerky42 thank you

Answer 6

You're welcome.