Answer:
It has the same domain as the function
Step-by-step explanation:
we have
we know that
The radicand cannot be a negative number
so
Solve for x
Multiply by -1 both sides
The domain of the given function is the interval ----> (-∞,0]
All real numbers less than or equal to 0
The range of the given function is the interval ----> [0,∞)
All real numbers greater than or equal to zero
<u><em>Verify each statement</em></u>
Part 1) It has the same domain as the function
<em>The statement is true</em>
The domain of the function is
the interval ---> (-∞,0]
Part 2) It has the same range as the function
The statement is false
The range of the function is
the interval ---> (-∞,0]
Part 3) It has the same domain as the function
The statement is false
The domain of the function is
the interval ---> [0,∞)
Part 4) It has the same range as the function
The statement is false
The range of the function is
the interval ---> (-∞,0]