Question

Find the inverse function in slope-intercept form (mx+b): f(x) = -x-16

Answer 1

We must find the inverse function of f(x)=-x-16.

First, replace f(x) by y in order to make the process easier:

$y=-x-16$

Nect, replace every x with a y and every y with an x:

$x=-y-16$

Next, solve for y. Then, in our case, we must move -16 to the left hand side as +16. It yields,

$x+16=-y$

and multiply by -1 both sides in order to find y :

$\begin{gathered} -x-16=y \\ \text{which is equivalent to} \\ y=-x-16 \end{gathered}$

Finally, replace y by f^(-1), which gives:

$f^{-1}(x)=-x-16$