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April 28, 2024, 08:03:21 pm
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Author Topic: Composite Functions  (Read 1123 times)  Share 

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sammy_g

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Composite Functions
« on: February 11, 2008, 09:30:41 pm »
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hey, just having some trouble understanding the concept of this question:

h:R\0 onto R, h(x)=1/x^2                g:Real Positives onto Reals, g(x)=3x+2

Find the Domain of h(g(x))

The Range of G has to be a subset of the domain of H.

The answer is Real Positives, but i don't know how they got it.
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Mao

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Re: Composite Functions
« Reply #1 on: February 11, 2008, 09:32:57 pm »
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so:

   and   

the domain of is practically the domain of given that is defined
this means, the domain of is so long as , which doesnt affect what we're doing

the reason it is is because g is only defined for ----->

therefore
domain of

yes, after several edits, ignore all my previous crapp :P
« Last Edit: February 11, 2008, 09:44:57 pm by Mao »
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Toothpaste

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Re: Composite Functions
« Reply #2 on: February 11, 2008, 09:36:29 pm »
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sammy_g

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Re: Composite Functions
« Reply #3 on: February 11, 2008, 09:37:06 pm »
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ah k sorry mate first time iv posted
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Toothpaste

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Re: Composite Functions
« Reply #4 on: February 11, 2008, 09:39:02 pm »
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Quote from: sammy_g on February 11, 2008, 09:37:06 pm
ah k sorry mate first time iv posted
Oh, no I wasn't implying that your post was out of place or anything. Sorry if I caused any misunderstandings. I just saw your thread and thought: hey I made a post once that could help you with that.
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sammy_g

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Re: Composite Functions
« Reply #5 on: February 11, 2008, 09:41:42 pm »
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oh thanks heaps for that link, that explains it really well:)

legends thanks heaps
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