The value of g(h(10)) is 2√2. the correct option is A.
Given that the functions are g(x)=√x-4 and h(x)=2x-8.
A function is defined as the relationship between a set of inputs where each input has an output.
Firstly, we will find the value of h(10) by substituting x=10 in the function h(x)=2x-8.
h(10)=2(10)-8
h(10)=20-8
h(10)=12
Now, we will find g(h(10)) where h(10)=12.
By substituting h(10)=12 in g(h(10)), we get
g(h(10))=g(12).
Further, we will find g(12) by substituting x=12 in the function g(x)=√x-4, we get
g(12)=√(12-4)
g(12)=√8
g(12)=2√2
Hence, the value of function g(h(10)) when g(x)=√x-4 and h(x)=2x-8 is 2√2.
Learn more about the function from here brainly.com/question/24160317.
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