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If f:A to B and g:B to C be the bijectiv...

If `f:A to B` and `g:B to C` be the bijective functions, then `(gof)^(-1)` is

A

`f^(-1)og^(-1)`

B

`fog`

C

`g^(-1)of^(-1)`

D

`gof`

Text Solution

Verified by Experts

The correct Answer is:
A
Given that, `f:A to B` and `g :B to C` be the bijective functions.
`(gof)^(-1)=f^(-1)og^(-1)`
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NCERT EXEMPLAR-RELATIONS AND FUNCTIONS-Relations And Functions
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  2. f:R->R defined by f(x) = x^2+5

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  4. Let f: R-{3/5}->R be defined by f(x)=(3x+2)/(5x-3) . Then

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  5. If f(x) is defined on [0, 1] by the rule f(x)={x, if x is ration...

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  6. If f : [2,oo) to R be the function defined by f(x)=x^(2)-4x+5, then th...

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  7. Let f:N rarr R be the function defined by f(x)=(2x-1)/2 and g:Q rarr Q...

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  8. If f: R to R be defined by f(x)={(2x:xgt3),(x^(2):1lt x le 3),(3x:x le...

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  9. If f:R to R be given by f(x)= tan x, then f^(-1)(1) is

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  10. Let the relation R be defined in N by a R b, if 2a + 3b = 30. Then R =...

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  11. If the relation R be defined on the set A={1,2,3,4,5} by R={(a,b): |a^...

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  12. If the functions f and g are given by f={(1,\ 2),\ (3,\ 5),\ (4,\ 1)} ...

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  13. If f:R to R be defined by f(x) = (x)/(sqrt(1 +x^(2) )), then (fofof)...

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  14. If f(x) = [4-(x-7)^(3)], then f^(-1)(x)= ………… .

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  15. State true or false for the given statement : Let R = { (3, 1), (1,...

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  16. If f:R to R be the function defined by f(x) = sin(3x+2) AA x in R. Th...

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  17. Every relation which is symmetric and transitive is also reflexive.

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  18. An integer m is said to be related to another integer n if m is a m...

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  19. Let A = {0, 1} and the set of all natural numbers.Then the mapping f: ...

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  20. The relation R on the set A = {1, 2, 3} defined as R ={(1, 1), (1, 2),...

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