## billie4120 Group Title Find the intervals on which the function is continous. Y= ^4root(5x-2) one year ago one year ago

1. wio Group Title

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

2. billie4120 Group Title

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

3. wio Group Title

Nah, you really only have to remember that when you have even roots, you can't have negative numbers inside.

4. NoelGreco Group Title

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

5. billie4120 Group Title

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

6. billie4120 Group Title

its the quad root of 5x-2

7. NoelGreco Group Title

OK. If you take an even root of an expression, the expression has to be greater than or = 0: the even root of a negative number is imaginary. (Odd roots of negatives are fine.) So, as wio said, figure out where the radicand (5x - 2) is > or = 0.

8. NoelGreco Group Title

Where the function is defined, it's continuous.

9. billie4120 Group Title

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

10. NoelGreco Group Title

Yes. Good.