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osanseviero

  • 2 years ago

I need to find the natural domain of:

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  1. osanseviero
    • 2 years ago
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    \[\frac{ x }{ \sqrt{-x ^{2}-x+2} }\] Can someone see if it is this?: |dw:1382585115287:dw|

  2. osanseviero
    • 2 years ago
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    I think I am wrong :/

  3. Easyaspi314
    • 2 years ago
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    Domain is -2 < x < 1.

  4. osanseviero
    • 2 years ago
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    shouldnt -2 and 1 be included?

  5. Easyaspi314
    • 2 years ago
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    You want to make sure that what is in the square root, namely -x^2 - x + 2 > 0. Solving that quadratic inequality, yields -2 < x < 1.

  6. Easyaspi314
    • 2 years ago
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    NO! when x = -2 and x = 1, the denominator will equal 0, wjich is undefined!

  7. osanseviero
    • 2 years ago
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    Right! just noticed that! thanks

  8. Easyaspi314
    • 2 years ago
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    welcome.

  9. osanseviero
    • 2 years ago
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    :)

  10. Easyaspi314
    • 2 years ago
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    practice solving -x^2 - x + 2 > 0

  11. Easyaspi314
    • 2 years ago
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    to makes ure you get -2 < x < 1

  12. Easyaspi314
    • 2 years ago
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    sure*

  13. osanseviero
    • 2 years ago
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    Just did it, thanks :)

  14. Easyaspi314
    • 2 years ago
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    cool.

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spraguer (Moderator)
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