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Problem- Find all functions f from the reals to the reals such that ( f ( x ) f ( x ) f ( x ) + f ( z )) ( f ( y ) + f ( t ) ) = f ( xy − zt ) + f ( xt + yz ) for all real x , y , z , t .



 



 



 







Problem-



 



 


Find all functions f

from the reals to the reals such that



(


f (x)

 


f (x)

f (x)


+ f (z)) ( f (y) + f (t) ) = f (xy zt) + f (xt +

yz)

for all real



 



 


x, y, z, t

.




Grade:11

1 Answers

Anurag Kishore
37 Points
11 years ago

The question is not clear. Plz post it again

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