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Let f be a polynomial function such that...

Let f be a polynomial function such that `f(x) f(y) + 2 = f(x) + f(y) + f(xy) AA x,y in R^+ cup {0}`and f(x) is one-one `AA x,y in R^+` with f(0)=1 and f(1)=2
Answer the following questions based on above passage:
The function y=f(x) is given by

A

`x^(1//3)-1`

B

`1+(2x^3)/3`

C

`1+x^2`

D

`1-x^2`

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The correct Answer is:
C
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