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Let A={1 ,2,3,4,5} and B={1,2,3, ... ., ...

Let `A={1 ,2,3,4,5}` and `B={1,2,3, ... ., 6,7} .` If `R` be a relation from `A` to the set B defined by
i) is square root of
ii) is cube root of, find `R` and also its domain and range.

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V PUBLICATION-RELATIONS AND FUNCTIONS-QUESTIONBANK
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  2. A relation R is defined on the set Z of integers as follows.R ={ (x, y...

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  3. Let A={1 ,2,3,4,5} and B={1,2,3, ... ., 6,7} . If R be a relation from...

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  4. Find the domain and range of the function f = {(x, (x^2 -1)/(x - 1)): ...

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  5. Let R be the relation on the set Z of all integers defined by R={(x, y...

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  6. Let f be defined by f(x)=x-4 and g be defined by g(x)=(x^2-16)/(x+4), ...

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  7. If f is a real function defined by f(x)=(x-1)/(x+1), then prove that f...

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  8. Find the domain and range of the following functions: i)f(x)=1/(sqrt(x...

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  9. Let f and g be two real functions defined by f(x)=1/(x+4) and g(x)=(x+...

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  10. Which of the following relations are functions? Give reasons. If it is...

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  12. Let f and g be real functions defined by f(x)=sqrt(x+4), x ge-4 and g(...

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  13. If af(x)+bf (1/x)=1/x-5 for x ne 0, where a ne b. Find f(x)

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  14. If A={3,4,6} , B={1,3} and C={1,2,6}, then find (i) A xx(B nn C) (...

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  15. Let A and B are two sets such that n (A) = 3 and n (B) = 2. If (x,1),...

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  16. Let A be a non - empty set such that A xx B=A xx C show that B=C

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  17. Let A subset B, C subset D, then prove that A xx C subset B xx D

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  18. Let R be the relation on Z defined by R={(a, b), a, b in Z, a^2=b^2} F...

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