SOLUTION: What is the smallest integer that is NOT in the domain of the function below? f(x)= squareroot of 4-x my answer is 5

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Question 322023: What is the smallest integer that is NOT in the domain of the function below?
f(x)= squareroot of 4-x
my answer is 5

Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
The domain is all values that x can take on. The only problem I have with this function is that I cannot have a negative inside the square root. So I'll set the insides greater-than-or-equal-to zero, and solve. The result will be my domain:
4 - x ≥ 0
- x ≥ 0 - 4
-x ≥ -4
x ≤ -4/-1
x ≤ 4
The values for x must be less than or equal to 4. Anything else will make the square root function undefined.