help finding the domain of the function and writing it in interval notation

Question

I need help finding the domain of the function and writing it in interval notation. The function is:

f(x) = ³√5-6x

Answer 1

f(x) = the cube root of (5-6x)

the domain includes any real number -infinity < x < + infinity.

In interval notation (-inf, +inf)

You might be tempted to exclude x values that make 5-6x <0 but that is not true for cube roots. It's true for square roots.