State the domain of function, pa help po pls

Given:

The functions are:

(1)

(2)

(3)

To find:

The domain of given functions.

Solution:

Domain is the set of input and x -values.

Value under the square root must be positive because if the number under square root is negative, then it is a complex or imaginary number.

(1)

The function is defined if

The function is defined for all real values of x which are less than or equal to 1.

Therefore, the domain of the function is (-∞,1].

(2)

It is a linear function and linear function is defined for all real values of x.

Therefore, the domain of the function is (-∞,∞).

(3)

It can be written as

It is defined if

This function defined for all real values of x from -4 to 4.

Therefore, the domain of the function is [-4,4].