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If f(x) is a real-valued function discontinuous at all integral points lying in [0,n] and if `(f(x))^(2)=1, forall x in [0,n],` then number of functions f(x) are

A

`2^(n+1)`

B

`6xx3^(n)`

C

`2xx3^(n-1)`

D

`3^(n+1)`

Text Solution

Verified by Experts

The correct Answer is:
C
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FIITJEE-FUNCTION-ASSIGNMENT PROBLEMS (OBJECTIVE) Level-I
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  15. The range of the function f(x) = sqrt(4 - x^2) + sqrt(x^2 - 1) is

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  16. The domain function f(x) = 1/ (sqrt((|sin^-1x|-cos^-1|x|))) is given b...

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  17. If f(x)=abs(1/(abs(absx-2))+1/(abs(absx-3))) and g(x)=sin^(-1)(2sqrtx)...

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  19. Statement -1: f(x) is invertible function and f(f(x)) = x AA x in doma...

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