Question 1140512
<br>
The other tutor showed you the standard method for finding the inverse of a function: switch x and y and solve for the new y.<br>
For many relatively simple functions, you can find the inverse easily using the fact that an inverse function "gets you back where you started".<br>
For an inverse function to get you back where you started, it has to perform the opposite operations and in the opposite order, compared to the given function.<br>
In this example, the operations performed by the given function are
(1) cube the input; and
(2) add 1<br>
The inverse function then has to
(1) subtract 1; and
(2) take the cube root<br>
So the inverse function for this example is<br>
{{{y = root(3,x-1)}}}