SOLUTION: If f(x)=3x^2-2 and g(x)=sqrt x, then find f(small o)g. I thought that small o was a multiplication sign but it isn't, i don't know how to figure this. thanks for your help.

Algebra ->  Graphs -> SOLUTION: If f(x)=3x^2-2 and g(x)=sqrt x, then find f(small o)g. I thought that small o was a multiplication sign but it isn't, i don't know how to figure this. thanks for your help.      Log On


   



Question 202494: If f(x)=3x^2-2 and g(x)=sqrt x, then find f(small o)g. I thought that small o was a multiplication sign but it isn't, i don't know how to figure this. thanks for your help.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
your answer can be found here:
http://answers.yahoo.com/question/index?qid=20070108154558AANud0c
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basically, (f little o g)(x) is the same as:
f%28g%28x%29%29
which says that you're taking f(x) and everywhere you see x, you substitute g(x).
this is the same as stating f(3) where everywhere you see x, you replace it with 3.
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in your problem this would look like the following:
f%28x%29+=+3x%5E2-2
g%28x%29+=+sqrt%28x%29
f%28g%28x%29%29+=+3%2A%28sqrt%28x%29%29%5E2+-+2
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now:
%28sqrt%28x%29%29%5E2+=+x
so your equation:
f%28g%28x%29%29+=+3%2A%28sqrt%28x%29%29%5E2+-+2
becomes:
f%28g%28x%29%29+=+3+%2A+x+-+2