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Let f(x) be a real valued function satis...

Let f(x) be a real valued function satisfying the functional equation f(x) + f(1 - x) = k for all `x in Q`, where k is a constant quantity. To evaluate the p and value at a point we use the relations to get the value of that function
Answer the following question based on above passage :
If f(x) = 3^(x-3)/(3^(1-x) + 3^x)` for al `x in Q`, then the value of the sum f(1/55) + f(2/55) +.....+ f(54/55) is

A

1

B

27

C

54

D

55

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The correct Answer is:
A
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PATHFINDER-FUNCTION-QUESTION BANK
  1. If y = f(x) = (x+2)/(x-1) then

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  2. Let f(x) be a real valued function satisfying the functional equation ...

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  3. Let f(x) be a real valued function satisfying the functional equation ...

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  4. Let f(x) be a real valued function satisfying the functional equation ...

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  5. Let (x) f1(x)-2f2(x) where f1(x) = "min"{x^2, |x|} "for"-1 le x le...

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  6. Let (x) f1(x)-2f2(x) where f1(x) = "min"{x^2, |x|} "for"-1 le x le...

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  7. Let (x) f1(x)-2f2(x) where f1(x) = "min"{x^2, |x|} "for"-1 le x le...

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  8. Let f(x) = 1/2[f(xy) + f(x/y)] for x,y in R^+ such that f(1) = 0 f'(...

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  9. Let f(x) = 1/2[f(xy) + f(x/y)] for x,y in R^+ such that f(1) = 0 f'(...

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  10. Let f(x) = 1/2[f(xy) + f(x/y)] for x,y in R^+ such that f(1) = 0 f'(...

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  11. For all real values of x and y, 2f(x) cosy = f(x + y) + f(x - y) and b...

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  12. For all real values of x and y, 2f(x) cosy = f(x + y) + f(x - y) and b...

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  13. For all real values of x and y, 2f(x) cosy = f(x + y) + f(x - y) and b...

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  14. Match List - I with List-II

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  15. Match List - I with List-II

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  16. Let f(x) be function such that f(x + 2)- 5f(x + 1) + 6f(x) = 0 AA x in...

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  17. Match List - I with List-II

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  18. If maximum and minimum value of f(x)=^xC(2x-1)+^(20-3x)C(4x-5) are la...

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  19. Let f be the function from the set of positive integers to the set of ...

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  20. The least period of the function sin((x[x])/12)+cos((nx)/4)+tan((pi(x)...

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