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Let ** be a binary operation on the set ...

Let `**` be a binary operation on the set Q of rational numbers as follows
`a**b=a-b`.
Check whether * is commutative and associative

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V PUBLICATION-RELATIONS AND FUNCTIONS-QUESTION BANK
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  3. Let ** be a binary operation on the set Q of rational numbers as follo...

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  7. If R1 and R2 are equivalence relations in a set A, show that R1 nn R2 ...

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  8. Let X={1,2,3,4,5,6,7,8,9}. Let R1 be a relation in X given by R1={(x, ...

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  9. Let f: X rarr Y, be a function. Define a relation R in X given by: R={...

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  10. Determine which of the following binary operation on the set R are ass...

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  11. Find the number of all one-one functions from set A={1,2,3} to itself.

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  12. Consider the identity function, IN: N rarr N defined as In(x)=x forall...

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  13. Consider a function f : [0, pi/2] rarr R given by f(x) = sin x and g...

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  14. Let f:RrarrR be defined as f(x) = 10x+7 Find the function g:RrarrR s...

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  15. Let f:WrarrW be defined as f(n) = n-1 if n is odd and f(n) = n+1 i...

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  16. If f:RrarrR is defined by f(x) = x^2-3x+2, find f(f(x))

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  17. Show that the function f:R rarr R given by f(x)=x^3 is injective.

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  18. Given a non empty set X, consider P(X) which is the set of all subsets...

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  19. Find the number of all onto functions from the set {1,2,3 …... n}to i...

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