Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

The domain of the function is (-∞, 4] in interval notation.

Answer 2

[AI-generated answer — Step-by-Step Bot]

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, ∞)