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Function and inverse function

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If the functions f(x) and g(x) are defined by the table below and if z(x)=g(f(x)), then what is the value of z^-1 (1)? (Use table below)

x 1 2 3 4 5 6 7 8 9 10
f(x) 10 1 8 2 6 3 4 9 5 7
g(x) 7 8 9 10 1 2 3 4 5 6.

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Solution Summary

The solution determines the function and inverse function.

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z(x)=g(f(x)).

First according to the data set, we could do the following
x=1, f(1)=10, g(10)=6, therefore z(1)=g(f(1))=g(10)=6.
x=2, ...

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