Given information
The provided function is .
Step-by-step explanation
Take the help of theorem 7 which states that the function which falls in the category of polynomials and roots represents the continuous functions. Write the continuous functions.
, , and
Now, take the help of theorem 9 according to this theorem the composition of two functions will represent a continuous function if those two functions represents the continuous functions. Write the continuous function.
,
Take the help of theorem 4 according to this theorem the function will represent a continuous function if it falls in any category of operations like addition, subtraction and so on that is between two functions which represents the continuous functions. Write the continuous function.
Use the property of obtained function and write the required domain.