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Let f be the subset of Z xxZ defined by ...

Let f be the subset of `Z xxZ` defined by `f" "=" "{(a b ," "a" "+" "b)" ":" "a ," "b in Z}` . Is f a function from Z to Z? Justify your answer.

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RD SHARMA ENGLISH-FUNCTIONS-All Questions
  1. If f is a real function satisfying f(x+1/x)=x^2+1/(x^2) for all x in ...

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  2. Let f\ be a relation on the set NN of natural numbers defined by f={(...

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  3. Let f be the subset of Z xxZ defined by f" "=" "{(a b ," "a" "+" "b)" ...

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  4. Consider a rule f(x)=2x-3 associating elements of NN (set of natural n...

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  5. Let A={-2,\ -1,\ 0,\ 1,\ 2}a n d\ f: A->ZZ be given y f(x)=x^2-2x-3. F...

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  6. Let A={1,2},\ B={3,6} and f: A->B given by f(x)=x^2+2\ and\ g: A->B gi...

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  7. Let f : R - {2} rarr R be defined as f(x) = (x^2 - 4)/(x-2) and g: R...

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  8. Let f: ZZ->ZZ\ a n d\ g: ZZ->ZZ\ be functions defined by f={(n , n^2)...

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  9. Let f: R->R be a function given by f(x)=x^2+1. Find: f^(-1){-5}

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  10. Let f: R->R be a function given by f(x)=x^2+1. Find: f^(-1){26}

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  11. Let f: R->R be a function given by f(x)=x^2+1. Find: f^(-1){10 , 37}

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  12. Let f" "=" "{(1,1)," "(2," "3)," "(0, -1)," "(-1," "-3)} be a function...

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  13. If f: RR->RR be defined as follows: f(x)={1,\ if\ x in QQ, -1,\ if\...

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  14. If f: R->R be defined as follows: f(x)={1,\ if\ x in Q-1,\ if\ x !in ...

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  15. Define a  function as a set of ordered pairs.

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  16. Define a function as a correspondence between two sets.

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  17. Let A={-2,\ -1,\ 0,\ 1,\ 2}a n d\ f: A->Z be given y f(x)=x^2-2x-3. Fi...

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  18. Let A={-2,\ -1,\ 0,\ 1,\ 2}a n d\ f: A->Z be given y f(x)=x^2-2x-3. Fi...

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  19. If a function f: R->R be defined by f(x)={3x-2,\ x<0 1, x=0 4x+1, x >0...

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  20. A function f: R->R is defined by f(x)=x^2dot Determine Range of f ii....

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