SOLUTION: consider the function f(x) = (cx)/ (2x + 3) , where x is not ewual to -3/2. Find all values of c (if any) for which f(f(x)) = x

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Question 41949: consider the function f(x) = (cx)/ (2x + 3) , where x is not ewual to -3/2. Find all values of c (if any) for which f(f(x)) = x
Answer by psbhowmick(878)   (Show Source): You can put this solution on YOUR website!

Therefore,

[Just replace 'x' with f(x)]

Thus,
or
or

So, if f(f(x)) = x then

or
or
or
or

As x cannot be equal to
so can also not be equal to .

But, however, if then

or
or
Hence either c = 0 or c = -3.
Thus f(f(x)) = x is valid for all values of 'x' except c = 0 and c = -3.

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