Respuesta :

carlosego

Answer: first option.

Step-by-step explanation:

To solve this problem you must plug the function h(x) into the function g(x):

[tex]g(x)=\sqrt{(2x-8)-4}[/tex]

Now you must simplify by adding like terms, as following:

[tex]g(h(x))=\sqrt{2x-12}[/tex]

Substitute x=10 into the fucntion. Therefore, you obtain the following result:

[tex]g(h(10))=\sqrt{2(10)-12}[/tex]

[tex]g(h(10))=2\sqrt{2}[/tex]

imlittlestar

Answer:

The correct answer is first option  2√2

Step-by-step explanation:

It is given that, g(x) = √(x - 4) and h(x) = 2x - 8

To find g(h(x))

We have g(x) = √(x - 4) and h(x) = 2x - 8

h(x) = 2x - 8

g(h(x)) =  √((2x - 8)- 4) = √(2x - 12)

To find the value of g(h(10))

g(h(x)) = √(2x - 12)

g(h(10)) = √(2*10 - 12) =√(20 -12) =√8 = 2√2

Therefore the correct answer is first option  2√2

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