Question 761244
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Step 1:  Replace f(x) with y


Step 2:  Solve for x in terms of y


Step 3:  Swap the x and y


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


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ f(x)\ =\ 3x\ -\ 7]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ 3x\ -\ 7]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y\ +\ 7\ =\ 3x]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ \frac{y\ +\ 7}{3}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ \frac{x\ +\ 7}{3}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ f^{-1}(x)\ =\ \frac{x\ +\ 7}{3}]


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