ggabby
how do i show algebraically that these are inverses of each other imma need to draw it....



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ggabby
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dw:1347944563922:dw

hartnn
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can u find f(g(x))
or g(f(x))
?

ggabby
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no

ggabby
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ohh i can

hartnn
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great :)
so if
f(g(x)) = 1
or g(f(x))=1
then f(x) and g(x) are inverse of each other.

hartnn
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u just need to prove this:
f(g(x)) = 1

ggabby
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ok i got it can we do a similar problem if u can make a prob lol

ggabby
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?

hartnn
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sure,
prove that f(x)=e^(2x)
and g(x)=(ln x)/2
are inverse of each other.

ggabby
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ok one second

ggabby
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dw:1347945047242:dw

ggabby
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now im stuck

hartnn
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u know the logarithmic property
\(\huge a^{log_ab}=b\)
?