1.

(Associativity ) Let `f: A to B , g : B to C " and " h: C to `. Then prove that ( h o g) o f = h o ( g o f )`

Answer» Let ` x in A` .Then
`{( h o g ) o f } (x) = (h o g) { f (x)}`
`=h [g {f (x) }]`
`=h [( g o f ) (x) ]`
`={h o (g o f )}(x)]`
`:. ( h o g ) o f = h o ( g o f)`


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