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If f (x) =(e^(x) -e ^(-x))/( e ^(x) +e^(...

If `f (x) =(e^(x) -e ^(-x))/( e ^(x) +e^(-x)) +2,` then the value of `f ^(-1) (x)` is-

A

`log _(e) ""(x-1)/(3-x)`

B

`1/2 log _(e) ""(3-x)/(x-1)`

C

`1/2 log _(e) ""(x-1)/(3-x)`

D

`log _(e) ""(3-x)/(x-1)`

Text Solution

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The correct Answer is:
C
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CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 8
  1. Let R = {(3,3)}, (6,6) , (9,9) ,(12,12), (6,12),(3,9), (3,12), (3,6)},...

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  2. The equation of the hyperbola having its eccentricity 2 and the distan...

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  3. y(1) and y(2) and y(3) are the ordinates of three points on the parabo...

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  4. Let A ={-3, -2, -1, 0,1,2} and ZZ be the set of integers. If f: A to Z...

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  5. Total number of relation that can be defined on set A = {1,2,3,4,5} is...

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  6. If f2f(x) +3f (-x) =x^(2) -x+1, then the value of f'(1) is-

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  7. The value of lim x to pi/2( (2x-pi)/cosx) is

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  8. If f (x) =(e^(x) -e ^(-x))/( e ^(x) +e^(-x)) +2, then the value of f ^...

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  9. Let alpha and beta be the distinct roots of ax^(2) + bx + c = 0 then u...

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  10. If 2f ((1)/(x)) +f(x) =3x, then the value of f (2) is-

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  11. The domain of defination of the function f(x) =sqrt((sqrt(x+1))/(sqrtx...

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  12. The range of the function f (x) = ""^(9-x) P (x-1) is-

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  13. The period of the function sin ^(4) x+ cos ^(4) x is -

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  14. The value of lim (xto0) (xe ^(x)- log (1+x))/(x ^(2)) is equal to-

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  15. The value of lim (xto1) (1-x) tan ""(pix)/(2) is-

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  16. If f(x) be a function such that f (9) =9 and f '(9)=3, then the value ...

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  17. Let f(x) =(1- tanx)/(4x-pi) when 0 le x lt pi/2 and x ne pi/4, If f (...

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  18. If f (x) is differentiable and f'(4) =5, then the vlaue of lim(xto2) (...

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  19. If f(x) is differentiable at x=a, then the value of lim (x to a)((x+...

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  20. If f(x+y+z)= f(x) f(y) f (z) ne 0, for all real x,y,z and f(2) =5, f...

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