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The range is the set of all possible outputs from a function. There is no fixed method to finding ranges. With your knowledge of the domain of the function and of how things work in Math, you just have to think it through.
The equation above tells us that the output of g is the square root of something. What kinds of numbers can be the result of a square root? If you understand that refers to the positive (or zero) square root, then you will realize that the range will not include any negative numbers. And if you understand that every positive number can be the square root of some positive number, then you will realize that the range will include all positive numbers.
Putting this together, the range for g is: all real numbers greater than or equal to zero.
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