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Consider f : R → R given by f(x) = 4x + ...

Consider f : R → R given by `f(x) = 4x + 3`. Show that f is invertible. Find the inverse of f.

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MODERN PUBLICATION-RELATIONS AND FUNCTION-EXAMPLE
  1. State with reason whether following functions have inverse: h: {2,3,4,...

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

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

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

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

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  6. Let f : X rarr Y be an invertible function. Show that f has unique 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 f(f(x)) is:

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

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

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

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  13. Determine whether or not each of the defination 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. For each operation * defiend below, determine whether* is binary, comm...

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

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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. Consider the binary operation ^^ on the set {1,2,3,4,5} defined by a ^...

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  20. Consider a binary operation * on the set {1,2,3,4,5} give by the follo...

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