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Show that f:[-1,1]toR given by f(x)=frac...

Show that `f:[-1,1]toR` given by `f(x)=frac(x)(x+2)` is one-one.

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MAXIMUM PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
  1. Let N be the set of Natural numbers. Consider the function f:NtoN defi...

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  2. Give a relation on a set A={1,2,3,4} which is reflexive, symmetric and...

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  3. Show that f:[-1,1]toR given by f(x)=frac(x)(x+2) is one-one.

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  4. Let 'ast' be a binary operation on Q^+ defined by 'aastb=frac(ab)(6)'....

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  5. ast:Rto R given by aastb=3a^2-b Find the value of 2ast3 . Is 'ast' ...

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  6. f:RtoR is defined by f(x)=x^2-3x+2 Find fof(x) and fof(1).

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  7. Consider f:RtoR given by f(x)=5x+2 Show that f is one-one.

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  8. Consider f:RtoR given by f(x)=5x+2 Is f invertible? Justify your ans...

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  9. Let ast be a binary operation on N defined by aastb=HCF of a and b I...

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  10. Let ast be a binary operation on N defined by aastb=HCF of a and b I...

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  11. Let f:RtoR be given by f(x)=frac(2x+1)(3) find fof and show that f i...

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

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

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

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

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

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

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

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

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