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Let A = R - (3), B = R = (1). Let f: A r...

Let A = R - (3), B = R = (1). Let f: `A rarr B` be defined by: `f(x) = (x-2)/(x-3) AA x in A`.Then show that 'f' is bijective. If the mappings f and g are given by : `f=(1,2),(3,5),(4,1) and g = (2,3),(5,1),(1,3) write fog.

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MODERN PUBLICATION-RELATIONS AND FUNCTION-EXAMPLE
  1. Let f : R rarr R be defined by f(x) = x^2 +1 Find the pre-image of -3

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  2. let the function : f R rarr R to be defined by f(x) = cos x for all x ...

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  3. Let A = R - (3), B = R = (1). Let f: A rarr B be defined by: f(x) = (x...

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  4. Let '*' be the binary operation on Q. Find which of the following bina...

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  5. Let '*' be the binary operation on Q. Find which of the following bina...

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  6. Let '*' be the binary operation on Q. Find which of the following bina...

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  7. Let '*' be the binary operation on Q. Find which of the following bina...

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  8. Let '*' be the binary operation defined on R by a*b = 1 + ab AA a,binR...

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  9. Let '*' be the binary operation defined on R by a*b = 1 + ab AA a,binR...

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  10. Let '*' be the binary operation defined on R by a*b = 1 + ab AA a,binR...

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  11. Let '*' be the binary operation defined on R by a*b = 1 + ab AA a,binR...

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  12. Is the binary operation'*' defined on Z (set of integers) by m*n = m-n...

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  13. Let f : X rarr Y be an function. Define a relation R in X given by : R...

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

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  15. Show that the number of equivalence relation in the set {1, 2, 3} cont...

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  16. Show that the number of equivalence relation in the set {1, 2, 3} cont...

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  17. Let A = {1,2,3}. Then show that the nmber of relations (1,2) and (2,3)...

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

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

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  20. Give examples of two one-one function f1 and f2 from R to R such that ...

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