...f(x) = sqrt(7x^2 - 12x). I need to find the domain of this function and indicate it in interval notation.
While I know how to find domain of f(x) = sqrt(7x^2 - 12x) I am struggling with the first function.
By "sqrt", do you mean "the fifth root of", or "5th-rt(7x^2 - 12x)"?
If so, think about odd-indexed roots. The restriction on square roots (and fourth roots and sixth roots and...) comes from the fact that you cannot have negatives inside those even-indexed roots. Is that the case for odd-indexed roots?