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Consider the function f:NtoN, given by f...

Consider the function `f:NtoN`, given by `f(x)=x^3`. Show that the function '`f`' is injective but not surjective.

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MAXIMUM PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
  1. Consider the function f(x)=frac(3x+4)(x-2),xne2. Find a function on a ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Let R be the relation on the set N of natural numbers given by R={(a...

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  18. If f(x)=8x^3 and g(x)=x^(1/3), find g(f(x)) and f(g(x))

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  19. Let ast be a binary operation on the set Q of rational numbers defined...

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  20. Let f(x)=frac(x-1)(x-3),xne3 and g(x)=frac(x-3)(x-1),xne1 be two fun...

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