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Let f: {1, 3, 4}-> {1, 2, 5}and g: {1, 2...

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)}`. Write down `gof`.

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`f: {1, 3, 4} to {1, 2, 5}`
and `g : {1, 2, 5} to {1, 3}`
and `f = {(1, 2), (3, 5), (4, 1)}`
and `g= {(1, 3), (2, 3), (5, 1)}`
`therefore (gof) (1) = g{f(1)} = g(2) = 3`
`" " (gof) (3) = g{f(3)} = g(5) = 1 `
`" " (gof) (4) = g{f(4)} = g(1) = 3 `
`therefore gof = { (1, 3), (3, 1), (4, 3)}`
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