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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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