Step 1:

The functions are $\"\"$ and $\"\"$ .

The domain of $\"\"$ is all real numbers.

The domain of $\"\"$ is:

The function under the square root should not be negative.

$\"\"$

$\"\"$ .

The domain of $\"\"$ is $\"\"$ .

The domain of $\"\"$ is $\"\"$ . \ \

Step 2:

Find $\"\"$ .

$\"\"$

$\"\"$ .

The domain of $\"\"$ is the set of all numbers $\"\"$ in the domain of $\"\"$ such that $\"\"$ is in the domain of $\"\"$ .

Domain of the composite function $\"\"$ is $\"\"$ .

Solution:

Domain of the composite function $\"\"$ is $\"\"$ .