Answer:
D. [tex]f(x)=\sqrt{x}-4[/tex]
Step-by-step explanation:
Given:
Range is 4 less than square root of domain.
An element of domain is given by the variable 'x'.
An element of range is given by the variable 'y' or [tex]f(x)[/tex].
Now, an element of range is 4 less than the square root of the element of domain.
So, square root of element of domain is given as:
[tex]\sqrt{x}[/tex]
Subtracting 4 from this will give us the element of the range of the given function.
So, [tex]f(x)=\sqrt{x}-4[/tex]
Therefore, the last choice (D) is the answer.