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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 ## The figure above shows the representations of the graphs of tagged by: fskilnik@GMATH ##### This topic has 1 expert reply and 0 member replies ### GMAT/MBA Expert ## The figure above shows the representations of the graphs of ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult GMATH practice exercise (Quant Class 13) The figure above shows the representations of the graphs of the functions f and g, where f(x) = 2^(-0.5x) and g(x) = ax^2+b (a and b constants). What is the value of g(f(0)) ? (A) 3 (B) 3.25 (C) 3.5 (D) 3.75 (E) 4 Answer: _____(D)___ _________________ Fabio Skilnik :: GMATH method creator ( Math for the GMAT) English-speakers :: https://www.gmath.net Portuguese-speakers :: https://www.gmath.com.br ### GMAT/MBA Expert GMAT Instructor Joined 09 Oct 2010 Posted: 1449 messages Followed by: 32 members Upvotes: 59 fskilnik@GMATH wrote: GMATH practice exercise (Quant Class 13) The figure above shows the representations of the graphs of the functions f and g, where f(x) = 2^(-0.5x) and g(x) = ax^2+b (a and b constants). What is the value of g(f(0)) ? (A) 3 (B) 3.25 (C) 3.5 (D) 3.75 (E) 4 $$? = g\left( {f\left( 0 \right)} \right)$$ $$\left[ {{\rm{blue}}} \right]\,\,\,\left( {0,f\left( 0 \right)} \right) \in {\rm{graph}}\left( f \right)\,\,\,\, \Rightarrow \,\,\,\,f\left( 0 \right) = {2^{ - {1 \over 2}\left( 0 \right)}} = 1$$ $$? = g\left( 1 \right) = a \cdot {1^2} + b = a + b$$ $$\left[ {{\rm{red}}} \right]\,\,\,\,\left\{ \matrix{ \left( { - 4,b} \right) \in {\rm{graph}}\left( f \right)\,\,\,\, \Rightarrow \,\,\,\,b = {2^{ - {1 \over 2}\left( { - 4} \right)}} = 4 \hfill \cr \left( { - 4,0} \right) \in {\rm{graph}}\left( g \right)\,\,\,\,\,\mathop \Rightarrow \limits^{b = 4} \,\,\,\,\,0 = a \cdot {\left( { - 4} \right)^2} + 4\,\,\,\, \Rightarrow \,\,\,\,a = - {1 \over 4} \hfill \cr} \right.$$ $$? = - {1 \over 4} + 4 = 3.75$$ The correct answer is (D). We follow the notations and rationale taught in the GMATH method. Regards, Fabio. _________________ Fabio Skilnik :: GMATH method creator ( Math for the GMAT) English-speakers :: https://www.gmath.net Portuguese-speakers :: https://www.gmath.com.br • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE 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 • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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