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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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PSEB-RELATIONS AND FUNCTIONS-Exercise
  1. If f(x)=(4x-3)/(6x-4) ,x != 2/3 show that f@f(x) =xfor all x != 2/3.wh...

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  2. State with reason whether following functions have inverse: f: {1,2,3,...

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

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

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

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

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

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  10. Let f : R – {4/3}rarrR be a function defined as f (x) = 4x/(3x+4) T...

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

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

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

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

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

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

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

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

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

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

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