The correct option is the third one.
y = -√(x - 5) + 3
Which function has a domain of x>5 and a range of y≤3?
Remember that a square root can only be evaluated in values equal or larger than zero.
So, if we want the domain to be x > 5, then we must have:
√(x - 5)
Now we also want the range to be equal or smaller than 3, then we should have a constant term equal to 3, and a negative coefficient before the square root, then we get:
y = -√(x - 5) + 3
So the correct option is the third one.
If you want to learn more about domains:
https://brainly.com/question/1770447
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