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Consider f : R+rarr [4, oo) given byf (x...

Consider `f : R_+rarr [4, oo)` given by`f (x) = x^2 + 4` Show that f is invertible with the inverse `f ^–1,of f given by f ^–1(y) = sqrt(y - 4)`, where `R_+` is the set of all non-negative real numbers.

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PSEB-RELATIONS AND FUNCTIONS-Exercise
  1. State with reason whether following functions have inverse: h: {2,3,4,...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. Consider a binary operation ∗ on the set {1, 2, 3, 4, 5} given by the ...

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