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f(x) = (e^(x)-e^(-x))/(e^(x)+e^(-x))+2 ....

`f(x) = (e^(x)-e^(-x))/(e^(x)+e^(-x))+2` . The inverse of f(x) is ........

A

`log_(e)((x-2)/(x-1))^(1/2)`

B

`log_(e)((x-1)/(3-x))^(1/2)`

C

`log_(e)((x)/(2-x))^(1/2)`

D

`log_(e)((x-1)/(x+1))^(-1/2)`

Text Solution

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The correct Answer is:
B
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KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS -Textbook based MCQs
  1. f(x) =x^3/3+x^2/2+ax +b,AAx inR. If (x) is one one function then the m...

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  2. f(x) = x^(2) - 2x -1, AA x in R, f:(-oo,oo] rarr [b,oo) is one one an...

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  3. f(x) = (e^(x)-e^(-x))/(e^(x)+e^(-x))+2 . The inverse of f(x) is .........

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  4. f:(2,4)rarr(1,3),f(x) = x - [(x)/2] , where [.] is a greatest integer ...

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  5. f: [2,oo) rarr y, f(x) = x^(2)-4x +5 is a one and Onto function . If y...

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  6. f:N rarrN , f(x)=x+(-1)^(x-1) then f^(-1)(x)= .......

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  7. a gt 1 is a real number f(x) = log(a)x^2 , where x gt 0 If f^(-1)(x)...

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  8. f : R rarr R , f(x) = 2 x + |cosx| then f is ......... function .

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  9. The number of onto function from set {1,2,3,4} " to " {3,4,7} is ........

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  10. Match the Section (A) with the Section (B) properly.

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  11. f:[0,3] rarr [1,29],f(x) =2x^(3)-15x^2+36x+1 then f is ........ functi...

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  12. f(x,y) = (max (x,y))^((min(x,y))) and g(x,y)= max (x,y) - min (x,y) th...

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  13. Let A = {1,2,3}. Then number of equivalence relations containing (1,2)...

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  14. S is defined in Z by (x,y ) in S hArr |x-y| le 1. S is ........

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  15. If S is defined on R by (x,y) inR hArr xy ge 0 . Then S is ...........

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  16. Which of the following defined on Z is not an equivalence relation ?

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  17. If a**b=(ab)/3 on Q^+ then the inverse of a(a ne0) for ** is ......

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  18. The number of binary operation on {1,2,3,......,n} is ..........

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  19. If a**b = a +b on R - {1} , then a^(-1) is ........

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  20. For a**b = a +b + 10 on Z , the identity element is ........

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