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For each value of y greater than

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For each value of y greater than [#permalink] New post 27 Feb 2013, 11:14
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For each value of y greater than 2\sqrt{3}, the function f(x) is such that the equation f(x) = y has the form x = \frac{(y^2 + 12)}{y}.

I don't understand well that sentence. Could someone please explain what it is trying to say? It would be ideal if you provide an example. Thanks!
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Re: For each value of y greater than [#permalink] New post 27 Feb 2013, 13:08
danzig wrote:
For each value of y greater than 2\sqrt{3}, the function f(x) is such that the equation f(x) = y has the form x = \frac{(y^2 + 12)}{y}.

I don't understand well that sentence. Could someone please explain what it is trying to say? It would be ideal if you provide an example. Thanks!

Dear danzig,

Here's my translation of that ---- the variables x and y are related by the equation x = \frac{(y^2 + 12)}{y}, but this equation is only valid for values of y > 2\sqrt{3}. If y ≤ 2\sqrt{3}, we know this equation is, for some reason, no longer valid, and we have no earthly clue what meaningful relationship x and y might have, if any. In other words, the question it telling us that it, the question, doesn't have the right to ask about what happens if y ≤ 2\sqrt{3}.

Does that make sense?

Mike :-)
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Re: For each value of y greater than   [#permalink] 27 Feb 2013, 13:08
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