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Questions  

 Let f:NN where N is set of natural numbers be a  function such that f(x+y)=f(xy)x4 and y4, then 

a
f(4)=f(5)
b
f(8)=f(9)
c
f(7)=f(8)
d
f(5)=f(6)

detailed solution

Correct option is C

f(1+f(1))=4f(1)⇒ f(1+4)=4×4⇒ f(5)=16 Now f(5+f(5))=4f(5)⇒ f(5+16)=4×16⇒f(21)=64

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