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Composite Functions

 
 
fdrhs
 
Reply Wed 24 Aug, 2005 12:31 pm
I found two very complicated composite function questions that I have never seen in class before. However, I am interested in learning how to solve each question below.

Find functions f and g so that f(g(x)) = H.

1) H(x) = sqrt{x^2 + x + 1}

2) H(x) = (1 - 1/(x^2))^2
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Type: Discussion • Score: 1 • Views: 739 • Replies: 4
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Thomas
 
  1  
Reply Wed 24 Aug, 2005 12:41 pm
The partitioning of both composites looks fairly easy to me. Which approaches have you tried so far, and which difficulties have you run into?
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fdrhs
 
  1  
Reply Wed 24 Aug, 2005 01:14 pm
ok
I have to replace g(x) for the value of H(x) in both questions but don't know where to go from there.
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Thomas
 
  1  
Reply Wed 24 Aug, 2005 02:15 pm
Okay, you place me in a somewhat difficult position. I'm willing to help you, but obviously I am not going to do your homework for you. Ib this case, it isn't easy to do one without doing the other.

Let's see. You say this is a composite function you have not seen in class before. Why don't you give me a composite function you did see in class, tell me how you split that one up into its composites, and then we go on from there?
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fdrhs
 
  1  
Reply Thu 25 Aug, 2005 06:23 am
ok
Thomas,

This is not homework. I am just curious about solving both questions.
I will get back to you later.
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