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22 Aug 2011 09:31:20 IST
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If f(x)=1/(2-x) then find the points of discontinuty of the composite function y= f(f(f(x)))
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22 Aug 2011 16:22:51 IST
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x=3/4 is a point of discontinuity
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22 Aug 2011 22:33:28 IST
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f(x) = 1/2-xSo, y=f(f(f(x)))=(3-2x)/(4-3x)This is discontinuous when 4-3x = 0.So, y is discontinuous at x=4/3
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22 Aug 2011 22:34:35 IST
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f(x) = 1/2-xSo, y=f(f(f(x)))=(3-2x)/(4-3x)This is discontinuous when 4-3x = 0.So, y is discontinuous at x=4/3
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23 Aug 2011 00:15:33 IST
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Is it discontinuous at x=2??
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23 Aug 2011 00:52:30 IST
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Ya obvoiusly 2 is the corrct answr. Bcz f is discontinous at 2 and composite of discontinous may not b continous, so first pnt of discontinuity is defintly 2. Sory m replyng aftr getting the answr. I ws also going with 4/3.....
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23 Aug 2011 15:18:09 IST
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Is it necessary that composite funcn will also be discontinuous at that point where the original funcn is discontinuous????
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23 Aug 2011 15:20:46 IST
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And how to proceed further by putting the func in the composite funcn.... Can anyone explain in detail by taking the example of the above question
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23 Aug 2011 20:45:38 IST
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sry, seems i made a mistake 2 is also an option along with 4/3 (typo in 1st post) , so for eg. if a question says no. of points of discontinuity then we should bubble 3 ( 4/3 , 2 3/2)
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23 Aug 2011 20:46:34 IST
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we should bubble 3 ( 4/3 , 2 , 3/2)
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