Find the inverse of f(x)= (x-3)/(x+2) and f(x)= (8x-4)/(2x+6).

Answer 1

Here's how to do the first one.
(1) solve for x in terms of y. x = f(y)
(2) switch variables x and y.
y = (x-3)/(x+2)
xy + 2y = x - 3
x(y-1) = -3 -2y
x = (2y+3)/(1-y)
The inverse function is
f^-1 (x) = (2x+3)/(1-x)

Do the second problem the same way.

Answer 2

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