Question 65742: well the problem I have is with a table. I will do my best to explain it.
"For the information in the table providing values of f(x) and g(x), evaluate (f o g)^-1(3)."
x 1|2|3|4|5|
f(x) 5|3|5|1|2|
g(x) 4|5|1|3|2|
x is over f(x) and g(x)
Thanks!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! "For the information in the table providing values of f(x) and g(x), evaluate (f o g)^-1(3)."
x 1|2|3|4|5|
f(x) 5|3|5|1|2|
g(x) 4|5|1|3|2|
--------------
In general,
(fog)^-1(x)] = [g^-1]o[f^-1(x)]
so,
g^-1[f^-1(3)]
=g^-1(2)
=5
---------
Therefore (fog)^-1(3)=5
Cheers,
Stan H.
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