Question

Which equation is the inverse of y = 100 - x??

Answer 1

For this case we must find the inverse of the following function:

$y = 100-x$

To do this, we follow the steps below:

We exchange the variables:

$x = 100-y$

We clear the variable "x" (the variable is already cleared):

$x = 100-y$

We change "x" to "y":

$y = 100-x$

We change y for $f^{-1}(x)$:

$f^{-1} (x) = 100-x$

ANswer:

$f^{-1} (x) = 100-x$