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anonymous
 5 years ago
domain of: y=x+5/square root: (x^21)
anonymous
 5 years ago
domain of: y=x+5/square root: (x^21)

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[y=\frac{x+5}{\sqrt{x^21}}\]The domain of this function is the set of all x such that the function is welldefined. You need to ensure two things here. 1. the numerator cannot be 0 2. the radiacand (expression under the sqrt sign) cannot be negative (for real numbers). Let's look for xvalues the function CAN'T take. This will be when\[\sqrt{x^21}=0\]by the first point, and when\[x^21<0\]by the second point. For the first,\[\sqrt{x^21}=0 \rightarrow x^21=0 \rightarrow x= \pm 1\]For the second,\[x^21<0 \rightarrow x^2<1 \rightarrow 1<x<1\]So when x is between 1 and 1, and inclusive of 1 and 1, the function fails to exist. So your domain is everything else; that is, your domain is\[D= \mathbb{R}\left\{ x1 \le x \le1 \right\}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The above 'D' means 'the set of all real numbers, except for those between 1 and 1 inclusive of 1 and 1'.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You're other equation is right, btw.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Okay, thanks for letting me know..
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