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f-2-x-f-x-2-a-G-Q1902-f-x-




Question Number 1936 by 123456 last updated on 25/Oct/15
f^2 (x)−f(x^2 )=a [G.Q1902]  f(x)=?
$${f}^{\mathrm{2}} \left({x}\right)−{f}\left({x}^{\mathrm{2}} \right)={a}\:\left[\mathrm{G}.\mathrm{Q1902}\right] \\ $$$${f}\left({x}\right)=? \\ $$
Commented by prakash jain last updated on 25/Oct/15
I don′t think that a solution exists except  for a=0 or a=2.
$$\mathrm{I}\:\mathrm{don}'\mathrm{t}\:\mathrm{think}\:\mathrm{that}\:\mathrm{a}\:\mathrm{solution}\:\mathrm{exists}\:\mathrm{except} \\ $$$$\mathrm{for}\:{a}=\mathrm{0}\:\mathrm{or}\:{a}=\mathrm{2}. \\ $$
Commented by Rasheed Soomro last updated on 25/Oct/15
I think you are very right sir!
$${I}\:{think}\:{you}\:{are}\:{very}\:{right}\:{sir}! \\ $$

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