Question 1197091
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The response from the other tutor shows the traditional method for finding the inverse of a function: switch the x and y and solve for the new y.<br>
For many relatively simple functions, an alternative which is often faster is to use the concept that an inverse function "un-does" what the function does.<br>
For this example, the given function does this to the input:
(1) multiply by -2/3; and
(2) add 5<br>
The inverse function, to undo that, needs to perform the opposite (inverse) operations in the opposite order:
(1) subtract 5; and
(2) divide by (-2/3) -- i.e., multiply by (-3/2)<br>
ANSWER: y=(-3/2)(x-5)<br>