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For each value of y greater than

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Manager
Joined: 11 Aug 2012
Posts: 127
Schools: HBS '16, Stanford '16
For each value of y greater than [#permalink]

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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!
Magoosh GMAT Instructor
Joined: 28 Dec 2011
Posts: 4128
Re: For each value of y greater than [#permalink]

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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 If y ≤ $$2\sqrt{3}$$, we know this equation is, for some reason, no longer valid, and we have no earthly clue what meaningful relationship x and y might have, if any.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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Mike McGarry
Magoosh Test Prep

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