Find the inverse of f (x) = - 4/x-1 + 2

The inverse f-1 (x) = (2 - x) / 4 + 1.

Step-by-step explanation:

Let y = - 4 / (x - 1) + 2

-4 / (x - 1) = y - 2

x - 1 = (y - 2) / - 4

x = - (y - 2) / 4 + 1

x = (2 - y) / 4 + 1

Now replace x by f-1 (x) (the inverse) and y by x:

f-1 (x) = (2 - x) / 4 + 1.