Question 460831:
I am resubmitting this problem on logarithm,
I entered yesterday, but got no response. Please help!
Find f(x) such that h(x) = f∘g(x), where g(x)=8x+4, and
____
h(x)=Ö8x+4.
Thank you
Answer by Edwin McCravy(20055)   (Show Source):
You can put this solution on YOUR website!
Find f(x) such that h(x) = f∘g(x), where g(x)=8x+4, and
____
h(x)=Ö8x+4.
f∘g(x) means to take the whole right side of the
equation for g(x), and substitute that whole
expression for x in the right side of f(x).
So the question is:
What would the right side of f(x) have to be so that
if we substituted the whole right side of g(x), which
is 8x+4, for x in the right side of f(x) we would get
____
Ö8x+4 ???
If we think about it, the right side of f(x) would have
to be
_
Öx
in order that if we substituted 8x+4 for x we would get
____
Ö8x+4
So therefore we'd have to have
_
f(x) = Öx
Edwin
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