Help with Composite Functions

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ElephantStew

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Help with Composite Functions

« on: February 06, 2008, 05:38:07 pm »

0

If $f(x)=|x|$ and $g(x)=x^2-5$ find:
a) $f(g(x))$

Just need to someone to show me how to do it, then i can do parts b), c) and d)

Thanks!

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Mao

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Re: Help with Composite Functions

« Reply #1 on: February 06, 2008, 06:01:56 pm »

0

$f(g(x))$ is simply plugging in g(x) where x is in f(x)
$f(g(x))=|x^2-5|$

btw the complicated thing with composite function is:
1) given f(g(x)), the range of g basically becomes the domain of f
2) the domain of f(g(x)) is the domain of g(x)
3) you can only work out the range of f(g(x)) given the range of g (i.e. the domain of f)

« Last Edit: February 06, 2008, 06:05:00 pm by Mao »

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dcc

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Re: Help with Composite Functions

« Reply #2 on: February 06, 2008, 06:02:10 pm »

0

If $f(x) = |x|$ and $g(x) = x^2 - 5$ then:

$f(g(x)) = |g(x)| = |x^2 - 5|$

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ElephantStew

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Re: Help with Composite Functions

« Reply #3 on: February 06, 2008, 06:19:26 pm »

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okay, now i just feel stupid

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