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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).

Answer :

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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

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