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What is the minimum number of pairs to form a non - zero reflexive relation on a set of n elements?

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MAXIMUM PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
  1. Let f:RtoR be given by f(x)=frac(2x+1)(3) find fof and show that f i...

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  2. Find the identity element of the binary operation ast on N defined by ...

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  3. What is the minimum number of pairs to form a non - zero reflexive rel...

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  4. On the set R of real numbers, S is a relation defined as S={(x,y)//x...

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  5. Consider the function f(x)=frac(3x+4)(x-2),xne2. Find a function on a ...

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  6. If f:RtoR and g:RtoR defined by f(x)=x^2 and g(x)=x+1, then gof(x) is

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  7. Consider the function f:NtoN, given by f(x)=x^3. Show that the functio...

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  8. The given table shows an operation aston A={p,q} (Figure) Is ast a ...

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  9. The given table shows an operation aston A={p,q} (Figure) Is ast co...

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  10. Let R be relation defined on A={1,2,3} by R={(1,3),(3,1),(2,2)} is

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  11. Find fog and gof if f(x)=abs(x+1) and g(x)=2x-1

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  12. Let ast be a binary operation defined on NtimesN by (a,b)ast(c,d)=(a+c...

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  13. If R={(x,y):x,y inZ,x-y inZ}, then the relation R is

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  14. Let ast be a binary operation on the set Q of rational numbers by aast...

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  15. Let f:RtoR,g:RtoR be two one-one functions. Check whether gof is one-o...

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  16. A function f:XtoY is onto if range of f=……….

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  17. Let f:{1,3,4}to{3,4,5} and g:{3,4,5}to{6,8,10} be functions defined by...

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  18. Let Q be the set of Rational numbers and 'ast' be the binary operation...

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  19. Let Q be the set of Rational numbers and 'ast' be the binary operation...

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  20. Show that aast(bastc)=(aastb)astc,AAa,b,c inQ.

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