Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Explore in-depth answers to your questions from a knowledgeable community of experts across different fields. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

please help will give brainly Given h of x equals 2 times the square root x minus 5 end root, which of the following statements describes h(x)?
The function h(x) is increasing on the interval (–∞, 5).
The function h(x) is increasing on the interval (5, ∞).
The function h(x) is decreasing on the interval (–5, ∞).
The function h(x) is decreasing on the interval (–∞, –5).

Sagot :

semsee45

Answer:

The function h(x) is increasing on the interval (5, ∞)

Step-by-step explanation:

[tex]h(x)=2\sqrt{x-5}[/tex]

Since we cannot take a square root of a negative number, the domain of this function is restricted to x ≥ 5

If the domain is restricted to x ≥ 5, then the function is always increasing,
since h(x) ≥ 0

Therefore:

The function h(x) is increasing on the interval (5, ∞)

View image semsee45

So

  • h(x)=2√x-5

Now

  • √x-5≥0
  • x≥5

So

Domain

is

  • [5,oo)

Option B

We hope this was helpful. Please come back whenever you need more information or answers to your queries. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.