SOLUTION: Hello.... I have a seemingly straight forward function problem, however the solution provided is unclear to me. Given F[X] = 1/x-1 [square root of].find f[x]-f[2] over x-2. My

Algebra ->  Functions -> SOLUTION: Hello.... I have a seemingly straight forward function problem, however the solution provided is unclear to me. Given F[X] = 1/x-1 [square root of].find f[x]-f[2] over x-2. My       Log On


   

Question 389553: Hello.... I have a seemingly straight forward function problem, however the solution provided is unclear to me. Given F[X] = 1/x-1 [square root of].find f[x]-f[2] over x-2. My solution is [1/x-1[sq.rt]-1]over x-2
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Given F[X] = 1/x-1 [square root of].find f[x]-f[2] over x-2. My solution is [1/x-1[sq.rt]-1]over x-2
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f(x) = sqrt%281%2F%28x-1%29%29
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f(2) = sqrt%281%2F%282-1%29%29+=+1
f(x) - f(2) = %28sqrt%281%2F%28x-1%29%29%29+-+1
You can rationalize that
= %28sqrt%28x-1%29%2F%28x-1%29%29-1
--------
[f(x) - f(2)]/(x-2) = %28%28sqrt%28x-1%29%2F%28x-1%29%29-1%29%2F%28x-2%29
Not much different from your answer.