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If function f:AtoB is a bijective , then...

If function `f:AtoB` is a bijective , then `f^(-1)` of is

A

the identity function on A

B

the identity function on B

C

equal to `fof^(-1)`

D

none of these

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A
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ICSE-RELATIONS AND FUNCTIONS -MULTIPLE CHOICE QUESTIONS
  1. If A={a,b,c} and B={-3,-1,0,1,3}, then the number of injections that c...

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  2. If A and B are two sets such that n(A)=5 and n(B) = 6, then the number...

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  3. If function f:AtoB is a bijective , then f^(-1) of is

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  4. If function f:RtoR is defined by f(x)=3x-4 then f^(-1)(x) is given by

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  5. which of the following functions from ZtoZ is a bijection ?

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  6. If f:RtoR is a function defined by f(x)=x^(3)+5 then f^(-1)(x) is

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  7. If f:RtoR is defined by f(x)=ax+b,ane0 then f^(-1)(x)

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  8. If A=R-{1} and function f:AtoA is defined by f(x)=(x+1)/(x-1), then f^...

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  9. If f:R-{-(1)/(2)}toR-{(1)/(2)} is defined by f(x)=(x-3)/(2x+1), then f...

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  10. If A=R-{b} and B=R-{1} and function f:AtoB is defined by f(x)=(x-a)/(x...

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  11. If A=R-{b} and B=R-{1} and function f:AtoB is defined by f(x)=(x-a)/(x...

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  12. If f:AtoB and g:BtoC are both bijective functions then (gof)^(-1) is

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  13. If f:R to R be given by f(x) = (3- x ^(3)) ^((1)/(3)), then fof (x) i...

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  14. If f : R to R, g : R to R is such that f (x) = x ^(2), g (x) = tan x ...

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  15. Let X = (-1,0,1), Y = {0, 2} and a function f: Xto Y defined by y = 2x...

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  16. The number of bifective functions from set A to itself when A contains...

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  17. Let f (x) = (x -1)/( x +1), then f (f (x)) is :

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  18. Let f:R toR be a function defined by f (x) = ( e ^(|x|) - e ^(-x))/( e...

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  19. Let f : {1,3,4} to {1, 2, 5} and g: {1, 2,5} to {1,3) be given by f={(...

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  20. The universal relation A xx A on A is:

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