You can put this solution on YOUR website!
Inverse function of
replace with .....swap variables
.......solve for ......both sides divide by .....squre both sides
-> inverse
The other tutor showed a traditional algebraic method for finding the inverse of a function -- switch x and y and solve for the new y.
In many cases, an inverse can be found more easily using the concept that an inverse function "gets you back where you started from".
To find the inverse of a function this way, look at the operations that are performed on the input by the function to get the result. The inverse, to get you back where you started, has to perform the opposite operations in the opposite order.
The given function performs the following operations on the input:
(1) multiply by -1:
(2) add 2:
(3) take the square root:
(4) multiply by -1:
(5) subtract 3:
The inverse function must perform the opposite operations in the opposite order:
(1) add 3:
(2) multiply by -1:
(3) square the result:
(4) subtract 2:
(5) multiply by -1:
