Inverse FunctionDate: 9/15/96 at 13:54:54 From: Anonymous Subject: Inverse Function Given f(x)= 1 - 2/x then f-1(x) is: I tried reversing the equation, switching the x and y and solving for x, but the answer I got didn't match any of the choices I had. Dianne Date: 9/19/96 at 16:41:3 From: Doctor Robert Subject: Re: Inverse Function y = 1 - 2/x Switching the x and the y's in order to find the inverse we have x = 1-2/y x-1 = -2/y (x-1)/-2 = 1/y y = -2/(x-1) so that in inverse function f^-1(x) = -2/(x-1) Check a few points! (2,0) is a point of f(x) and (0,2) is a point of f^-1(x). I think we've got the right answer. -Doctor Robert, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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