Question 321136
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*[tex \LARGE \ \ \ \ \ \ \ \ \ \ f(x)\ =\ 9x\ -\ 7]


Find *[tex \LARGE g(x)\ =\ f^{-1}(x)]


Replace *[tex \LARGE f(x)] with *[tex \LARGE y]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ 9x\ -\ 7]


Solve for the independent variable in terms of the dependent variable.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ -9x\ =\ -y\ -\ 7]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ \frac{y\ +\ 7}{9}]


Exchange positions of the variables and replace *[tex \LARGE y] with *[tex \LARGE g(x)] in this case but ordinarily *[tex \LARGE f^{-1}(x)]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ g(x)\ =\ \frac{x\ +\ 7}{9}]


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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