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If f , R rarr R defined by f (x) = 3x - ...

If f , R `rarr` R defined by f (x) = 3x - 6 and
g : R `rarr` R defined by g(x) = 3x + k if fog = gof then the value of k is ........... .

A

`-5`

B

5

C

6

D

`-6`

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FULL MARKS-RELATIONS AND FUNCTIONS -ADDITIONAL QUESTIONS SOLVED
  1. If n(A xx B) = 15 and A = {1,3,7} then n (B) is .............. .

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  2. If A = {a,b,c} B = {b,d,e} C ={a,e,I,o,u} then n [(A cap C) xx B] i...

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  3. If there are 28 relation from a set A = {2,4,6,8} to a set B , then th...

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  4. The ordered pairs (a + 7,4)(3,4a +b) are equal then (a,b) is ............

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  5. The range of the relation R = |(x, x^(3)) / x is a prime number less t...

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  6. If {(x,2) ,(4,y) } represents an identity function, then (x,y) is .......

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  7. If {(7,11),(5,a)} represents a constant function , then the value of '...

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  8. Given f(x) = (-1)^(x) is a function from N to Z. then the range of f i...

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  9. If f = {(6,3),(8,9),(5,3),(-1,6)} , then the pre-image of 3 are .........

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  10. Let A = {1,3,4,7,11} , B = {-1,1,2,5,7,9} and f : A rarr B be given by...

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  11. The given diagram represents

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  12. If A = {5,6,7}, B = { 1,2,3,4,5} and f : A rarr B is defined by f(x) =...

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  13. If f(x) = x^(2) + 5 , then f(-4) = ............. .

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  14. If the range of a function is a singleton set , then it is ..............

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  15. If f: A to B is a bijective function and if n(A)=5, then n(B) is equal...

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  16. If f , R rarr R defined by f (x) = 3x - 6 and g : R rarr R defined b...

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  17. If f(x) = x^(2) - x then f(x -1) - f(x + 1) is ............... .

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  18. If K(x) = 3x - 9 then L (x) = 7x - 10 then LOK is .............. .

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  19. Composition of function is associative.

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  20. A comet is heading for jupiter with axxeleration a = 50 kms^(-2) . The...

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