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Prove that for any f:X rarr Y , f o idx ...

Prove that for any `f:X rarr Y , f o id_x = f =id_Y` of.

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MBD PUBLICATION-RELATION AND FUNCTION-QUESTION BANK
  1. Let X ={1,2,3,4}Determine whether f:X rarr Xdefined as given below hav...

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  2. Construct an example to show that f(A nn B )!= f(A) nn f(B) where A nn...

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  3. Prove that for any f:X rarr Y , f o idx = f =idY of.

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  4. Prove that f:X rarr Y is surjective iff for all B sube Y, f(f^(-1)(B))...

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  5. Prove that f:X rarr Y is injective iff f^(-1) (f(A)) = "A for all" A s...

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  6. Prove that f:X rarr Y is injective iff for all subsets A,B of X,f(A n...

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  7. Prove that f:X rarr Y is surjective iff for all A sube X,(f(A))' sube ...

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  8. Show that the operation * given by x*y=x+y+ -xy is a binary oeration o...

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  9. Determine whether a ** b = 2a +3b "on" Z operations as defined by * a...

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  10. Determine whether a** b =ma - nb "on" Q + "where" m "and" n in N ope...

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  11. Determine whether a ** b =a+b ("mod" 7) "on" {0,1,2,3,4,5,6} operatio...

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  12. Determine whether a**b ="min" {a,b} "on" N operations as defined by * ...

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  13. Determine whether a ** b = "GCD" {a,b} "on" N operations as defined ...

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  14. Determine whether a**b ="LCM" {a,b} "on" N operations as defined by *...

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  15. Determine whether a**b = "LCM" {a,b} "on" {0,1,2,3,4…..,10} operation...

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  16. Determine whether a**b=sqrt(a^2+b^2) on Q+ operations as defined by *...

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  17. Determine whether a**b= axx b("mod" 5) "on" {0,1,2,3,4} operations as ...

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  18. Determine whether a**b =a^2 +b^2 "on" N operations as defined by * are...

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  19. Determine whether a**b = a+ b-ab "on" R-{1} operations as defined by ...

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  20. Constract the composition table/multiplication table for the binary op...

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