Question

Which function has a domain of x>5 and a range of y≤3?
Oy=√x-5+3
Oy=√x+5-3
O y=-√x-5+3
O y = -√x+5-3

Answer 1

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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