Find the intervals on which the function is continous.

Y= ^4root(5x-2)

Question

Find the intervals on which the function is continous.

Y= ^4root(5x-2)

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

noelgreco · Answer

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

anonymous · Answer

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

anonymous · Answer

its the quad root of 5x-2

noelgreco · Answer

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.

noelgreco · Answer

Where the function is defined, it's continuous.

anonymous · Answer

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

noelgreco · Answer

Yes.  Good.