Find the domain of the following function: lower f left parenthesis x right parenthesis equals Start Root x minus 4 End Root. Write your answer in interval notation.
(1 point)
Responses
left parenthesis negative 4 comma infinity right parenthesis
Image with alt text: left parenthesis negative 4 comma infinity right parenthesis
left parenthesis 4 comma infinity right parenthesis
Image with alt text: left parenthesis 4 comma infinity right parenthesis
left bracket negative 4 comma infinity right parenthesis
Image with alt text: left bracket negative 4 comma infinity right parenthesis
left bracket 4 comma infinity right parenthesis
The domain of the function is (-∞, 4] in interval notation.
To find the domain of the function f(x) = √(x - 4), we need to determine the values of x for which the function is defined.
The square root function (√) is defined for non-negative real numbers. In other words, the expression inside the square root (√(x - 4)) must be greater than or equal to 0.
Therefore, we set the expression x - 4 greater than or equal to 0 and solve for x:
x - 4 ≥ 0
Adding 4 to both sides:
x ≥ 4
So, the domain of the function is all real numbers greater than or equal to 4.
In interval notation, the domain can be written as: [4, ∞)