1. With the square root, the number can't not be 0 or lower, so the last option is the correct answer.
2. Again for the domain, we can't have a 0 or lower in the square root, so x is greater than or equal to -4/3. With the range, you don't want a zero, so anything higher than a -5. so y is greater than or equal to -5. So the final option is the correct answer.
3. sqrt(363) - 3sqrt(27)
sqrt(27) = sqrt(3^3) = 3sqrt(3)
sqrt(363) - 3 * 3sqrt(3)
sqrt(363) = sqrt( 3 * 11^2) = 11 sqrt(3)
11 sqrt(3) - 3 * 3sqrt(3)
11 sqrt(3) + -9 sqrt(3)
2sqrt(3)
So the simplified version is 2sqrt(3)