Question 1189777
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Yes; the method described in the response from the other tutor is the standard way to find the inverse of a function.<br>
However, for many relatively simple functions like this one, you can find the inverse quickly using the idea that an inverse function "un-does" what the function does.  To undo what the function does, the inverse must perform the opposite operations, in the opposite order.<br>
In this example, the function does this to the input:
(1) multiply by 4; and
(2) subtract 2<br>
So the inverse function has to
(1) add 2; and 
(2) divide by 4<br>
ANSWER: {{{f^(-1)(x)=(x+2)/4}}}<br>