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Let f be a polynominal such that f(x) f(...

Let f be a polynominal such that f(x) f(y) + 2 = f(x) + f(y) + f(xy) `AA xx, y in R` (0) and f(x) is one one `AA xx in R` with f(0) = 1 and f (1) = 2
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)`

Text Solution

Verified by Experts

The correct Answer is:
C
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