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 06-29-2012, 01:06 PM #1 Member   Join Date: Aug 2011 Posts: 386 SAT Math Question...Please? Hi, I'm having trouble understanding how to solve this. It's from Chung's SAT Math Book. Let the function f be defined by f(x) = (g(x))^2 - 2g(x) -2. If f(2)=-3, what is the value of g(2)? Thank you so much Reply
 06-29-2012, 01:20 PM #2 Junior Member   Join Date: Jun 2012 Posts: 121 Just plug in x=2 for the equation, giving f(2)=-3=g(2)^2-2g(2)-2 adding 3 to both sides gives g(2)^2-2g(2)+1=0 factoring: (g(2)-1)^2=0, g(2)=1 Reply
 07-01-2012, 03:23 AM #3 Senior Member   Join Date: Mar 2012 Location: Cambridge, MA Posts: 1,913 Yeah, the only way to solve it is simply plug in x = 2. Because you know nothing about g(x). f(2) = g(2)^2 - 2g(2) - 2, use RandomHSer's solution. Reply

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