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Grade: 12

                        

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

7 months ago

Answers : (3)

Saurabh Koranglekar
askIITians Faculty
10233 Points
							Dear student

Please ask the question in standard notation or attach the image of the question

Regards
7 months ago
Vikas TU
13783 Points
							
Dear student 
Question is not clear 
Please attach an image, 
We will happy to  help you 
Good Luck
Cheers
7 months ago
Aditya Gupta
2069 Points
							
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= x0
then, 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 x
so that g(x)= 4 for all x.
so (1-f(x)) +(g(x)-3)3= 1^3 + 1^3
2
KINDLY APPROVE :))
7 months ago
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