SOLUTION: Find functions f and g such that f(g(x))=h(x) a) h(x)=3x^2+7 b) h(x)=|2x+9| c) h(x)=21x

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Question 560338: Find functions f and g such that f(g(x))=h(x)
a) h(x)=3x^2+7
b) h(x)=|2x+9|
c) h(x)=21x
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find functions f and g such that f(g(x))=h(x)
a) h(x)=3x^2+7
Notice that the 1st thing that happens to "x" is that it gets squared.
The result is then multiplied by 3 and 7 is then added
--
So g(x) = x^2
and f(x) = 3x+7
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b) h(x)=|2x+9|
g(x) = 2x+9
f(x) = |x|
---------------------
c) h(x)=21x
g(x) = 7x
f(x) = 3x
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Cheers,
Stan H.
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