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

Let f be the subset of `Z xx Z` defined by `f = {(ab, a + b) : a,b in Z}` is f a function from Z to Z? justify your answer.

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V PUBLICATION-RELATIONS AND FUNCTIONS-QUESTIONBANK
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  2. Let A = {1,2,3,4}, B = {1,5,9,11,15,16} and f = {(1,5),(2,9),(3,1),(4...

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  3. Let f be the subset of Z xx Z defined by f = {(ab, a + b) : a,b in Z} ...

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  4. Let A = {9,10,11,12,13} and let f : A rarr N be defined by f (n) = the...

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  5. A relation R is defined on the set Z of integers as follows.R ={ (x, y...

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

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

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

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

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

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

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

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  14. If f(x)=x^2+x-1 and g(x)=4 x-7. be real functions then find: i) (f+g)...

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

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

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

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

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

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