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.
The square root function is defined for all non-negative real numbers. Therefore, the domain of f(x) = √(x-4) is x ≥ 4.
In interval notation, this is represented as [4, ∞).
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.
In this case, the function involves taking the square root of (x - 4). Remember that the square root of a number is only defined for non-negative values.
To ensure that the function is defined, the expression inside the square root (x - 4) must be greater than or equal to zero.
x - 4 ≥ 0
Solving the inequality:
x ≥ 4
Therefore, the domain of the function is all real numbers greater than or equal to 4. In interval notation, we can represent this as:
Domain: [4, +∞)