1. what are the domain and range of the function?

2.what are the domain and range of the function?

1) domain of the first is ( R ) because of its root(3) and its range is (R) because of its root again

2)and domain of the last , is [0,+infinity)

and for its range , you can draw it such as picture and will be [0,- infinity)

1. , .

2. , .

Step-by-step explanation:

1. Since the degree of the radical is an odd number, the radicand can be any real number, then can take any real value, so the domain of is the set of all real numbers, .

Now, if , then , so  , and thus , which leads us to affirm that the range of    is the set of all real numbers, .

2. Since the degree of the radical is an even number, the radicand can not be a negative number, then can take only nonnegaive values, so the domain of is the set of all nonnegative numbers, .

Now, if , then so  , and thus , which leads us to affirm that the range of    is the set of all nonpositive numbers, .

the answer is 5636.7