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If f(x)=(Kx)/(1 + x), x ne -1 and f{f(x...

If f(x)=`(Kx)/(1 + x), x ne -1 ` and f{f(x)} = x, then the value of k

A

a) `-sqrt2`

B

b) -1

C

c) 1

D

d) `sqrt2`

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The correct Answer is:
B
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PATHFINDER-FUNCTIONS-QUESTION BANK
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  2. Domain of definition of f(x) =sin^-1 ((3 - 2x)/5)

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  3. If f(x)=(Kx)/(1 + x), x ne -1 and f{f(x)} = x, then the value of k

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  4. If f(x) + 2f(1 - x) =x^2 + 2, forall x in R, then f(x) is

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  5. Let f : (-infty,1] rarr (-infty, 1] such that f(x) = x(2 -x), then f^-...

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  8. Find domain of f(x) = sqrt(1 - sqrt(1-sqrt(1 - x^2))).

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  9. If f(x) = sin x + cos x , g(x) =x^2 - 1 then show that g(f(x)) is inve...

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  11. If 2f(x) - 3f(1/x) =x^2 (x ne 0), then find f(2).

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  12. If f(x) =cos[pi^2]x + cos[-pi^2]x, where [x] stands for the greatest i...

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  14. Find the domain of definition of the function f(x) = 1/sqrt(absx + x).

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  15. If f : RrarrR such that f(x) = x - [x], where [p] denotes the greatest...

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  16. Find the range of the function f(x) = x^2 + 1/(x^2 + 1).

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  17. Find the range of the function phi where phi(x) = cos^-1 (x^2/(1 + x^2...

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  18. Find the range of the function f(x) =abs(x - 1) + abs(x - 2) , -1 le x...

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  19. Find the range of the function y = log3 (5 + 4x - x^2).

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  20. If f(x + y) = f(x) - f(y),forall x, y in R, then show that f(3) = f(1)

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