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Basically they want you to find intervals where \[
5x-2\geq0
\]

so I remember my teacher doind something like (5x-2)^1/4
Do I start it like that?

Y= ^4root(5x-2)
Can you clean that up? It makes no sense as written.

\[\sqrt[4]{5x-2}\]

its the quad root of 5x-2

Where the function is defined, it's continuous.

so it is defined when x is > or = .4
?

Yes. Good.