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

Algebra ->  Functions -> 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      Log On


   

Question 433512: The given function f is one-to-one.
f%28x%29=%28ax%2Bb%29%2F%28cx%2Bd%29
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) About Me  (Show Source):
You can put this solution on YOUR website!
The given function f is one-to-one.
f%28x%29=%28ax%2Bb%29%2F%28cx%2Bd%29
a) Find the domain of f
All Real Numbers except x = -d/c
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b) Find f'
f'(x) = [(cx+d)a-(ax+b)c]/(cx+d)^2
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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.