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Let Y = {n^2 : n in N} sub N Consider f ...

Let `Y = {n^2 : n in N}` sub N` Consider `f : N rarr Y` as `f (n) = n^2` Show that f is invertible. Find the inverse of f.

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MODERN PUBLICATION-RELATIONS AND FUNCTION-EXAMPLE
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  2. Let A = R- {3} and B = R- {1}. If f: ArarrB is a function defined by ...

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  3. Let Y = {n^2 : n in N} sub N Consider f : N rarr Y as f (n) = n^2 Show...

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  4. Let f: Nrar R be a function defined as : f(x) = 4x^2 + 12 x + 15. Sho...

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  5. Let f : N rarr N be a function deifned by f(x) = 9x^2 + 6x - 5. Show ...

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  6. Let f : WrarrW, be defined as f (n) = n – 1, if n is odd and f (n) = ...

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  7. Is ∗ defined on the set {1, 2, 3, 4, 5} by a * b = L.C.M. of a and b ...

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  8. Let ** be a binary operation on the set of all non-zero real numbers,...

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  9. A binary composition '*' is defined on R xx R by (a,b) * (c,d) = (ac,...

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  10. Let '*' be a binary operation on N given by : a*b = LCM (a,b) for all ...

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  11. The binary operation ** : R xx R rarrR is defined as a ** b = 2a + b....

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  12. Let * be the binary operation on N. Prove that (20*16) = 20*(16*8)

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  13. Find the identity element in Z with respect to the operation '*' defie...

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  14. Show that addition, subtraction and multiplication are binary operatio...

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  15. Show that subtraction and division are not binary operations on N.

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  16. Show that vv : R xx R rarr R given by (a, b) rarr max. [a, b) and ^^: ...

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  17. Show that * : R xx R rarr R given by a * b rarr a + 2b is nto assoc...

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  18. Let '*' be a binary operation defined on Q. Find which of the followin...

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  19. Let '*' be a binary operation defined on Q. Find which of the followin...

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  20. Let '*' be a binary operation defined on Q. Find which of the followin...

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