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Fill in the blank: Let f = (1,2), (3,5...

Fill in the blank:
Let f = (1,2), (3,5), (4,1) and g = (2,3), (5,1), (1,3)` then gof = _______and fog = _________.

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PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
  1. Let the relation R be defined on the set A={1,2, 3,4,5}" by "R={(a, ...

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  2. Fill in the blank: The identity relation on any non-empty set is alw...

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  3. Fill in the blank: Let f = (1,2), (3,5), (4,1) and g = (2,3), (5,1),...

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  4. Fill in the blank: If f (X) = 4-(x-7)^3, then f^-1 (x) =

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  5. Fill in the blank: If f = (a,c), (b,d) and g = (c, a), (d,b) then ra...

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  6. Fill in the blank: Let f : R rarr R be defined by f(x) = (x)/(sqrt(1...

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  7. Fill in the blank: Let f : R rarr R be defined by f(x) = (1)/(2 + c...

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  8. Fill in the blank: Let * be a binary operation defined on Z as a * b...

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  9. Consider the set A = {1, 2, 3} and R be the smallest equivalence relat...

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  10. Fill in the blank: The domain of the function f : R rarr R defined b...

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  11. Fill in the blank: The total number of injective functions that can ...

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  12. Fill in the blank: Let R1 be the set of all reals except 1 and * be ...

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  13. Let Z be the set of all integers and R be the relation on Z defined as...

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  14. Fill in the blank: Let f : R rarr R be defined by f(x) = (1)/(2 + c...

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  15. If relation R defined on set A is an equivalence relation, then R is

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  16. True or False statements : Let R = (3,1), (1,3), (3,3) be a relation...

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  17. Are the following statement true or false ? Justify the answer : Every...

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  18. True or False statements : Every function is invertible.

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  19. True or False statements : The relation R = (a,b), (ba,) on the set ...

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  20. Let A be a finite set. Then, each injective function from A into itsel...

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