- #1
utkarshakash
Gold Member
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Homework Statement
The function f satisfies [itex] \dfrac{f(x)}{f(y)} \leq 2^{(x-y)^2} x,y \in D [/itex] where D denotes domain set of the function, then f(x) can be
I have a set of options as well but I'm not posting it now. I will post it if required, later.
The Attempt at a Solution
I have dealt with functional equations but this seems more daunting as it is rather an inequation. First, to simplify it, I take natural logarithm of both sides. Then
[itex] log f(x) - logf(y) \leq (x-y)^2 log2 [/itex]
My next thought is to differentiate the expression wrt x. But I'm not sure whether it would be helpful as I don't want to do it uselessly.