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If f(x)=([{x}]tan^(-1)((x^(2)-3x-1)/(x^(...

If `f(x)=([{x}]tan^(-1)((x^(2)-3x-1)/(x^(2)-3x-5))+3-x^(7))^(1/7)`. Where [k] and {k} denotes greatest integer and fractional part functions of k respectively, then the value of `f^(-1)(50)-f(50)+f(f(100))`, is

A

0

B

25

C

50

D

100

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FIITJEE-FUNCTION-SOLVED PROBLEMS (OBJECTIVE)
  1. For abs(x-1)+abs(x-2)+abs(x-3)le6, x belongs to

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  2. The range of the function y =sqrt( -2cos^2 x + 3 cosx-1) is

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  3. Given f(x)=log(10)((1+x)/(1-x)) and g(x)=(3x+x^(3))/(1+3x^(2)), then f...

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  4. f(x)=(cosx)/([(2x)/pi]+1/2), where x is not an integral multiple of pi...

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  5. The domain of the function f(x)=1/(^((10)C()(x-1)-3x(10)C()x)) contain...

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  6. If f(x)+2f(1-x)=x^2+2AA x in R, then f(x) given as

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  7. If f(x)=([{x}]tan^(-1)((x^(2)-3x-1)/(x^(2)-3x-5))+3-x^(7))^(1/7). Wher...

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  8. If domain of y=f(x) is xin[-3,2], then the domain of f([x]) is

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  9. If the functions f(x) and g(x) are defined on R -> R such that f(x)=...

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  10. If f^(x)=-f(x) and g(x)=f^(prime)(x) and F(x)=(f(x/2))^2+(g(x/2))^2 an...

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  11. If S is the set of all real numbers x for which > 0 (2x-1)/(2x^3+3x^2+...

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  12. If f'(x)=(1-2sin^(2)x)/(f(x)),(f(x)ge0,AAxinR "and" f(0)=1) then f(x) ...

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  13. f(x) is a real valued function, satisfying f(x+y)+f(x-y)=2f(x).f(y) fo...

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  14. If y is a function of x given by 2log (y-1)-log x-log (y-2)=0, then

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  15. If alpha and beta are two consecutive roots of f(x) = 0, then

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  16. Let f: X to Y be a function defined by f(x) = 2sin(abs(x)+(pi)/4)- sqr...

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  17. Let X be the set of all positive integers greater than or equal to 8 a...

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  18. Number of elements in the range of f(x) = [abs(sinx) + abs(cosx)] is

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  19. Number of solutions of the equation log("sinx + cosx") sqrt2 - (-1 + 2...

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  20. f(x) is a polynomial function satisfying f(x) . f(y) = f(x) + f(y) + f...

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