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  • If the mappings f and g are given by f = \{ (1, 2), (3, 5), (4, 1) \} and g = \{ (2, 3), (5, 1), (1, 3) \} , write fog.\\

If the mappings f and g are given by f = \{ (1, 2), (3, 5), (4, 1) \}    and g = \{ (2, 3), (5, 1), (1, 3) \}  , write fog.\\

Answers (1)


Here,

f = \{ (1, 2), (3, 5), (4, 1) \}    and g = \{ (2, 3), (5, 1), (1, 3) \}

Therefore,

\\fog (2) = f(g(2)) = f(3) = 5\\ fog (5) = f(g(5)) = f(1) = 2\\ fog (1) = f(g(1)) = f(3) = 5\\

So, we can write that:

\\fog = \{ (2, 5), (5, 2), (1, 5) \} \\

Posted by

infoexpert22

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