Explore BrainMass
Share

Explore BrainMass

    Function and inverse function

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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.

    © BrainMass Inc. brainmass.com October 10, 2019, 4:20 am ad1c9bdddf
    https://brainmass.com/math/computing-values-of-functions/function-inverse-function-456644

    Solution Preview

    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, ...

    Solution Summary

    The solution determines the function and inverse function.

    $2.19