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.

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step-by-step explanation: