For this case we must find the inverse of the following function:
[tex]y = 100-x[/tex]
To do this, we follow the steps below:
We exchange the variables:
[tex]x = 100-y[/tex]
We clear the variable "x" (the variable is already cleared):
[tex]x = 100-y[/tex]
We change "x" to "y":
[tex]y = 100-x[/tex]
We change y for [tex]f^{-1}(x)[/tex]:
[tex]f^{-1} (x) = 100-x[/tex]
ANswer:
[tex]f^{-1} (x) = 100-x[/tex]
