please Answer This Question ASAP. 25 points for the correct answer
Answer:
D is the answer
Step-by-step explanation: Explanation:
The domain is the set of
x
-values that can be used to draw the function so,
You are unable to get a square-root of a negative number therefore the value under the square root must be
≥
0
.
Therefore we need all of the
x
-values that result in the value of
4
−
x
being
≥
0
.
4
−
x
≥
0
4
≥
x
x
≤
4
So all
x
-values
≤
4
will work in the equation. Now we right this in terms of all real numbers:
The Domain of
x
is all the real numbers expect when
x
>
4
(This produces a negative under the square root)
brainliest please
Answer:
Option 4.
Step-by-step explanation:
We know if under the square root is a negative, then it will become an imaginary number i.
We see that in order to make the square root negative, we would have to have a number smaller than 4.
√(x - 4)
√(4 - 4) = √0 = 0
√(3 - 4) = √-1 = i
Therefore, in order for f(x) to be real numbers, x ≥ 4, [4, ∞), or {x | x ≥ 4}