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Given:
The given function is:
[tex]f(x)=\sqrt{x-7}[/tex]
To find:
The value of x that is in the domain.
Solution:
Domain is the set of input values.
We have,
[tex]f(x)=\sqrt{x-7}[/tex]
We know that the square root is defined for non negative values. So,
[tex]x-7\geq 0[/tex]
[tex]x\geq 0+7[/tex]
[tex]x\geq 7[/tex]
Thus, the domain of the given function is all real number that are greater than or equal to 7.
In the given options 0, -3, 6 are less than 7 but 8 in option A is the only value that is greater than 7. So, [tex]x=8[/tex] is in the domain of the given function.
Therefore, the correct option is A.