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Relations and F...

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  • Question 1
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    Let f : {1, 3, 4} → {1, 2, 5} and g : {1, 2, 5} → {1, 3} be given by f = {(1, 2), (3, 5), (4, 1)} and g = {(1, 3), (2, 3), (5, 1)}. Then gof is

  • Question 2
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    Let f, g and h be functions from R to R, then

  • Question 3
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    If the set A contains 5 elements and the set B contains 6 elements, then the number of one – one and onto mappings from A to B is

  • Question 4
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    Let A = {1, 2, 3,… n} and B = {a, b}. Then the number of surjections from A to B is

  • Question 5
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    Let f : A → B and g : B → C be the two  bijective functions. Then (g o f)-1 is

  • Question 6
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    Let f : [2, ∞) → R be the function defined by f(x) = x2 - 4x + 5, then the range of f is

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