SOLUTION: The given function f is one-to-one. {{{f(x)=(ax+b)/(cx+d)}}} a) Find the domain of f b) Find f' c) Find the range of f d) If c is not equal to 0, under what conditions o

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Question 433512: The given function f is one-to-one.

a) Find the domain of f
b) Find f'
c) Find the range of f
d) If c is not equal to 0, under what conditions on a, b, c, and d if f=f'

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The given function f is one-to-one.

a) Find the domain of f
All Real Numbers except x = -d/c
------------------
b) Find f'
f'(x) = [(cx+d)a-(ax+b)c]/(cx+d)^2
------------------
c) Find the range of f
All Real Numbers except y = a/c
------------------------------------
d) If c is not equal to 0, under what conditions on a, b, c, and d if f=f'
I'll leave that to you.
Cheers,
Stan H.

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