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State with reason whether following func...

State with reason whether following functions have inverse: `g: {5,6,7,8} rarr {1,2,3,4}` with `g = {(5,4), (6,3), (7,4),(8,2)}`

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MODERN PUBLICATION-RELATIONS AND FUNCTION-EXAMPLE
  1. If f(x)=(4x+3)/(6x-4) , x ne 2/3 , show that (fof) (x) = x for all ne ...

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  2. State with reason whether following functions have inverse: h: {2,3,4,...

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  3. State with reason whether following functions have inverse: g: {5,6,7,...

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  4. State with reason whether following functions have inverse: h: {2,3,4,...

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  5. Show that f: [ -1, 1] rarr R, given by f(x)= (x)/(x+2) is one-one. Fin...

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  6. Consider f : R → R given by f(x) = 4x + 3. Show that f is invertible. ...

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  7. Consider f : R+rarr [4, oo) given byf (x) = x^2 + 4 Show that f is inv...

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  8. Consider f: Rrarr[-5, oo] given by f(x) = 9x^2 + 6x - 5. Show that f ...

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  9. Let f : X rarr Y be an invertible function. Show that f has unique inv...

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  10. Consider f : {1, 2, 3} rarr {a, b, c}, given by f (1) = a, f (2) = b ...

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  11. Let f : X rarr Y be an invertible function. Show that the inverse of ...

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  12. If f : R rarr R be given by: f(x) = (3-x^3)^1//3, then f(f(x)) is:

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  13. Let f : R - {-4/3} rarr R be a function defined as f(x) = (4x)/(3x+4)....

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  14. Determine whether or not each of the defination of '*' given below giv...

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  15. Determine whether or not each of the defination of '*' given below giv...

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  16. Determine whether or not each of the defination of '*' given below giv...

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  17. Determine whether or not each of the definition of '*' given below giv...

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  18. For each operation * defiend below, determine whether* is binary, comm...

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  19. For each operation * defiend below, determine whether* is binary, comm...

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  20. For operation ∗ defined below, determine whether ∗ is binary, commutat...

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