osanseviero
I need to find the natural domain of:



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osanseviero
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\[\frac{ x }{ \sqrt{x ^{2}x+2} }\]
Can someone see if it is this?:
dw:1382585115287:dw

osanseviero
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I think I am wrong :/

Easyaspi314
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Domain is 2 < x < 1.

osanseviero
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shouldnt 2 and 1 be included?

Easyaspi314
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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.

Easyaspi314
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NO! when x = 2 and x = 1, the denominator will equal 0, wjich is undefined!

osanseviero
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Right! just noticed that! thanks

Easyaspi314
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welcome.

osanseviero
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:)

Easyaspi314
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practice solving x^2  x + 2 > 0

Easyaspi314
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to makes ure you get 2 < x < 1

Easyaspi314
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sure*

osanseviero
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Just did it, thanks :)

Easyaspi314
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cool.