F(x) = 8-x

Question

find the inverse (f^-1)

Answer 1

f(x) = 8-x

 

There are steps to finding an inverse function.

 

1.  Replace f(x) with y

    y = 8 - x

 

2.  Swap the x and y variables

    x = 8 - y

 

3.  Solve for y

     y = 8 - x

 

4.  Replace y with f^-1(x)

     f^-1(x) = 8 - x

 

Note:  It is possible for a function to be the inverse of itself.

A function that's its own inverse is called an involution