For the function $f(x) = 7x - 2$:

1. Write an equation for the inverse function.

   Hint (a):

   Write down the steps for the function.
   Reverse the order.
   Write the new steps using algebra and inverse notation.

   Answer (a):

   $\textit{f}^{-1}(\textit{x})= \frac{\textit{x}+2}{7}$

2. Show that your inverse function is correct. Choose an input number for the function and put the output number into the inverse. Is your final output the same as your original input?