Domain of Radical Expression...1

Discussion in 'Other Pre-University Math' started by nycmathguy, Oct 5, 2021.

  1. nycmathguy

    nycmathguy

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    Section 2.7
    Question 72

    20211003_124119.jpg

    Set radicand to be ≥ 0.

    x^2 - 9 ≥ 0

    (x - 3) (x + 3) ≥ 0

    x - 3 ≥ 0

    x ≥ 3

    x + 3 ≥ 0

    x ≥ -3.

    Domain: (-infinity, -3] U [3, infinity)

    You say?
     
    nycmathguy, Oct 5, 2021
    #1
  2. nycmathguy

    MathLover1

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    same mistake here, set x^2 - 9 =0
     
    MathLover1, Oct 5, 2021
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  3. nycmathguy

    nycmathguy

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    nycmathguy, Oct 5, 2021
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  4. nycmathguy

    MathLover1

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    I didn't pay good attention what is given, and I was thinking you are givenx^2 - 9
    actually you are given sqrt(x^2 - 9)-> so, your domain is correct
     
    Last edited: Oct 5, 2021
    MathLover1, Oct 5, 2021
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  5. nycmathguy

    nycmathguy

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    Very good. We all make mistakes.
     
    nycmathguy, Oct 6, 2021
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