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Question 6609: How do you find the inverse of
(3/(x-1))?
Answer by Mike(39)   (Show Source):
You can put this solution on YOUR website! Here is what you need to do:
f(x) is the same as saying y. Therefore, f(x) = 3/(x-1) is the same as y = 3/(x-1). To find the inverse, simply switch y and x around. As such: x = 3/(y-1). Now all you have to do is solve for y:
x(y-1) = 3
y-1 = 3/x
y = 3/x + 1
The answer may also be expressed as follows: f^-1(x) = 3/x + 1. f^-1(x) means it is the inverse of the function.
Hope that helps.
Regards,
-Mike
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