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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote Functions tagged by: BTGmoderatorRO This topic has 1 member reply Functions If the function f(x) is defined for all real numbers x as the maximum value of 2x + 4 and 12 + 3x, then for which one of the following values of x will f(x) actually equal 2x + 4 ? A. -4 B. -5 C. -6 D. -7 E. -9 OA is E Can an Expert give a mathematical approach to solve this question? Thanks in advance. Master | Next Rank: 500 Posts Joined 20 Apr 2017 Posted: 228 messages Followed by: 3 members Upvotes: 32 GMAT Score: 770 Top Reply There are a number of ways we could solve this. The simplest approach would be to simply run a scenario on x=0 and note that the second term will always be higher unless x is very negative. Alternatively, you could set both equations equal and solve for x. If 2x+4 = 3x+12 then x = -8 and that is the break even point. Numbers higher than -8 will have a max number 3x+12 whereas numbers below -9 will have a max number 2x+4. _________________ Elias Latour Verbal Specialist @ ApexGMAT blog.apexgmat.com +1 (646) 736-7622 • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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