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Letf:RrarrR be such that f is injective ...

Let`f:RrarrR` be such that `f` is injective and `f(x) f(y)=f(x+y) for all x,y in R`. If `f(x),f(y),f(z)` are in `G.P.`, then `x,y,z` are in

A

`A.P. always`

B

`G.P. always`

C

`A.P. depending on the values of `x,y,z`

D

`G.P. depending on the values of `x,y,z`

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