The domain is all real numbers of x that makes the expression defined.
Set-builder notation: { x| x ≥ 0 }.
Interval notation: [0,∞).
What is the domain of the given function?
Given the function in the question;
f(x) = 3√3x - 3
To determine the domain, we find where the expression is defined by setting the radicand √3x to be greater than or equal to zero and solve for x.
3x ≥ 0
Divide both sides by 3
3x ≥ 0
3x/3 ≥ 0/3
x ≥ 0/3
x ≥ 0
The domain is all real numbers of x that makes the expression defined.
Set-builder notation: { x| x ≥ 0 }.
Interval notation: [0,∞).
Learn more about domain here: https://brainly.com/question/28135761
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