Question 607175
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*[tex \LARGE \ \ \ \ \ \ \ \ \ \ f(x)\ =\ \frac{1}{3}x\ -\ 2]


Step 1: Replace *[tex \LARGE f(x)] with *[tex \LARGE y]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ \frac{1}{3}x\ -\ 2]


Step 2: Solve for *[tex \LARGE x] in terms of *[tex \LARGE y]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{1}{3}x\ =\ y\ +\ 2]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ 3y\ +\ 6]


Step 3:  Swap positions of the variables:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ 3x\ +\ 6]


Step 4:  Replace *[tex \LARGE y] with *[tex \LARGE f^{-1}(x)]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ f^{-1}(x)\ =\ 3x\ +\ 6]


You should be able to graph a straight line by yourself by now.


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
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