Determine the domain and range of the original function. Express your answer in interval notation.

To determine the domain of the function , we first need to consider the square root. The expression under the square root, , must be non-negative. Therefore:

So, the domain of is .

Now, let’s find the range. Since the square root function outputs values starting from zero and going to infinity, we find:

When we apply the transformation , it flips the output over the x-axis and scales it, resulting in values starting from 0 going downwards:

Hence, the range of is .

In summary: