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if f:R gives Q(rational),g:R gives Q(rational) are two continuous functions suchthat (square root of 3)f(x)+g(x0=4 ,then (1-f(x))3 +(g(x)-3)3 is equal to
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dear student, the complete ignorance and lunacy shown by some members as Vikas and saurabh is totally uncalled for. In my earlier ans, he deems my ans as substandard. i dont like to be challenged by amateur and incompetent people like him in mathematics. he is a joke for a tutor.CORRECT SOL:sqrt(3)f(x)= 4 – g(x)now, assume that f(x) is not zero at least for some x= x0then, sqrt3= (4 – g(x0))/f(x0)however, f and g can only take rational values, hence (4 – g(x0))/f(x0) must also be rational, which is impossible since sqrt3 is irrational.hence, f(x)= 0 for all xso that g(x)= 4 for all x.so (1-f(x))3 +(g(x)-3)3= 1^3 + 1^3= 2KINDLY APPROVE :))
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