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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # The functions f and g are defined as f(x, y) = 2x + y and g  Question banks Downloads My Bookmarks Reviews Important topics
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The functions f and g are defined as f(x, y) = 2x + y and g [#permalink]
Expert's post 00:00

Question Stats: 100% (00:15) correct 0% (00:00) wrong based on 4 sessions
The functions f and g are defined as f(x, y) = 2x + y and g(x, y) = x + 2y.

 Quantity A Quantity B f(3, 4) + g(3, 4) f(4, 3) + g(4, 3)

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Kudos [?]: 98 , given: 2

Re: The functions f and g are defined as f(x, y) = 2x + y and g [#permalink]
Expert's post
When provided algebra for Quantitative Comparison problems, consider solving algebraically first, because the approach is likely to be more efficient than plugging in.

In this case we have:

 Quantity A Quantity B f(3, 4) + g(3, 4) f(4, 3) + g(4, 3)

Now, in the root statement f(x, y) = 2x + y and g(x + y) = x + 2y | Since both quantities sum these equations, stack and sum the full equations to efficiently compare the quantities.

2x + y
+ x + 2y
3x + 3y

Without plugging in, it can be determined that when adding the two functions of both quantities the x and y coefficients will remain equal. Therefore, since the x and y values are the same in both quantities, the quantities themselves will always be equal, which is choice C.
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Stefan Maisnier Re: The functions f and g are defined as f(x, y) = 2x + y and g   [#permalink] 14 May 2019, 08:15
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# The functions f and g are defined as f(x, y) = 2x + y and g  Question banks Downloads My Bookmarks Reviews Important topics  Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.