What is the solution to the system?
1 answer:
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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].