Question 1199863
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The method shown by the other tutor for finding the inverse of a function is one standard method.<br>
For most relatively simple functions, you can also find the inverse informally by using the idea that an inverse function "un-does" what the function does.<br>
To undo what the function does, the inverse function must perform the opposite operations in the opposite order.<br>
The given function performs these operations on the input value:
(1) add 2;
(2) take the square root; and
(3) add 2<br>
So the inverse function has to perform these operations:
(1) subtract 2;
(2) square the result; and
(3) subtract 2<br>
ANSWER: f^(-1)(x) = (x-2)^2-2<br>