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If `f : R->Q` (Rational numbers), `g : R ->Q` (Rational numbers) are two continuous functions such that `sqrt(3)f(x)+g(x)=4` then `(1-f(x))^3+(g(x)-3)^3` is equal to (1) `1` (2)`2` (3) `3` (4) `4 `

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
`f:RrarrQand g:RrarrQ, "but"sqrt3f(x)+g(x)=4` it is trure only.
when `f(x)=0rArrg(x)=4`
`therefore" "(1-f(x))^(3)+(g(x)-3)^(3)=2`
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