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billie4120 Group Title

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

  • one year ago
  • one year ago

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  1. wio Group Title
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    Basically they want you to find intervals where \[ 5x-2\geq0 \]

    • one year ago
  2. billie4120 Group Title
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    so I remember my teacher doind something like (5x-2)^1/4 Do I start it like that?

    • one year ago
  3. wio Group Title
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    Nah, you really only have to remember that when you have even roots, you can't have negative numbers inside.

    • one year ago
  4. NoelGreco Group Title
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    Y= ^4root(5x-2) Can you clean that up? It makes no sense as written.

    • one year ago
  5. billie4120 Group Title
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    \[\sqrt[4]{5x-2}\]

    • one year ago
  6. billie4120 Group Title
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    its the quad root of 5x-2

    • one year ago
  7. NoelGreco Group Title
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    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.

    • one year ago
  8. NoelGreco Group Title
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    Where the function is defined, it's continuous.

    • one year ago
  9. billie4120 Group Title
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    so it is defined when x is > or = .4 ?

    • one year ago
  10. NoelGreco Group Title
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    Yes. Good.

    • one year ago
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