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The relation f is defined by f(x)={{:(,x...

The relation f is defined by `f(x)={{:(,x^(2), 0 le x le 3),(,3x,3 le x le 10):}`
The relation g is defined by `g(x)={{:(,x^(2),0 le x le 2),(,3x,2 le x le 10):}`
Show that f is a function and g is not a function.

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NEW JOYTHI PUBLICATION-RELATIONS AND FUNCTIONS -QUESTIONS FROM COMPETITIVE EXAMS
  1. The relation f is defined by f(x)={{:(,x^(2), 0 le x le 3),(,3x,3 le x...

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  2. If x ne 1 and f (x) = (x +1 )/( x-1) is a real function then f...

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  3. If A ={x:x^2 -5 x +6 =0},B={2,4 }, C={4,5 } , then A xx ( B cap C)...

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  4. Let f(x+(1)/(x) ) =x^2 +(1)/(x^2) , x ne 0, then f(x) =?

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  5. If two sets A and B are having 99 elements in common to each ...

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  6. The function f Satisfies the functional equation 3 f (x) +2f ((...

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  7. If n (A ) = 4 , n(B ) =3, n(Axx Bxx C) = 24 then , n(C ) =

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  8. IF [x] denotes the greatest integer le x then [ 2/3] +[2/3 +1/9...

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  9. suppose the number of elements in set A is P , the number of elem...

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  10. Let Z denote the set of all integers and A = { (a,b) : a^2 +3b^2...

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  11. IF f(x) =2x^2 +bx +c and f(0) =3 and f (2) =1, then f(1) is ...

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  12. if f(x) =ax +b and g(x) = cx +d , then f[g(x) ] - g[f(x) ]is equi...

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  13. If f (x) satisfies the relation 2 f(x ) + f(1-x) =x^2 for all ...

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  14. The range of the function f(x) = (x^2 -x+1)/(x^2 +x+1) where x...

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  15. If a function f satisfies f (f(x))=x+1 for all real values of x ...

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  16. If f is a real valued function such that f(x+y) = f(x) + f(y)...

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  17. Let f(x ) = ( alpha x^2 )/(x+1),x ne -1 the value of alpha for ...

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  18. Let A = { x,y,z } and b= {a,b,c,d}. which one of the following...

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  19. The domain of the function f (x) = (1)/(sqrt(9-x^2)) is

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  20. If n (A) =5 and n(B ) =7 , then the number of relations on A ...

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  21. Let phi (x) = ( b(x-a))/(b-a)+(a(x-b))/(a-b) , where x in R and ...

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